1023055971840 has 1120 divisors, whose sum is σ = 4266174375936. Its totient is φ = 230338805760.

The previous prime is 1023055971781. The next prime is 1023055971863. The reversal of 1023055971840 is 481795503201.

1023055971840 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 0 + 5 + 597 + 18 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 927520729 + ... + 927521831.

Almost surely, 2^{1023055971840} is an apocalyptic number.

1023055971840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023055971840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2133087187968).

1023055971840 is an abundant number, since it is smaller than the sum of its proper divisors (3243118404096).

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

1023055971840 is an frugal number, since it uses more digits than its factorization.

1023055971840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 1023055971840 in words is "one trillion, twenty-three billion, fifty-five million, nine hundred seventy-one thousand, eight hundred forty".