1010073240576 has 495 divisors, whose sum is σ = 3188413756541. Its totient is φ = 307971514368.

The previous prime is 1010073240571. The next prime is 1010073240613. The reversal of 1010073240576 is 6750423700101.

It is a happy number.

The square root of 1010073240576 is 1005024.

It is a perfect power (a square), and thus also a powerful number.

1010073240576 is a `hidden beast` number, since 1 + 0 + 10 + 0 + 7 + 32 + 40 + 576 = 666.

It can be written as a sum of positive squares in only one way, i.e., 529657906176 + 480415334400 = 727776^2 + 693120^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1010073240576.

It is not an unprimeable number, because it can be changed into a prime (1010073240571) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 34830111730 + ... + 34830111758.

Almost surely, 2^{1010073240576} is an apocalyptic number.

1010073240576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1010073240576 is the 1005024-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010073240576

1010073240576 is an abundant number, since it is smaller than the sum of its proper divisors (2178340515965).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1010073240576 is an frugal number, since it uses more digits than its factorization.

1010073240576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

Multiplying 1010073240576 by its sum of digits (36), we get a square (36362636660736 = 6030144²).

1010073240576 divided by its sum of digits (36) gives a square (28057590016 = 167504²).

Adding to 1010073240576 its reverse (6750423700101), we get a palindrome (7760496940677).

The spelling of 1010073240576 in words is "one trillion, ten billion, seventy-three million, two hundred forty thousand, five hundred seventy-six".