1010412155520 has 384 divisors, whose sum is σ = 3574838292480. Its totient is φ = 262899302400.

The previous prime is 1010412155503. The next prime is 1010412155521. The reversal of 1010412155520 is 255512140101.

It is a happy number.

1010412155520 is a `hidden beast` number, since 1 + 0 + 10 + 4 + 121 + 5 + 5 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (1010412155521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39656385 + ... + 39681855.

It is an arithmetic number, because the mean of its divisors is an integer number (9309474720).

Almost surely, 2^{1010412155520} is an apocalyptic number.

1010412155520 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 1010412155520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787419146240).

1010412155520 is an abundant number, since it is smaller than the sum of its proper divisors (2564426136960).

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

1010412155520 is a wasteful number, since it uses less digits than its factorization.

1010412155520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25664 (or 25649 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

Adding to 1010412155520 its reverse (255512140101), we get a palindrome (1265924295621).

The spelling of 1010412155520 in words is "one trillion, ten billion, four hundred twelve million, one hundred fifty-five thousand, five hundred twenty".