10040411520 has 96 divisors (see below), whose sum is σ = 34670815920. Its totient is φ = 2677441536.

The previous prime is 10040411477. The next prime is 10040411539. The reversal of 10040411520 is 2511404001.

10040411520 is a `hidden beast` number, since 100 + 4 + 0 + 41 + 1 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-5 number, since 5×10040411520⁵ (a number of 51 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10040411493 and 10040411502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 865804 + ... + 877323.

Almost surely, 2^10040411520 is an apocalyptic number.

10040411520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10040411520 is an abundant number, since it is smaller than the sum of its proper divisors (24630404400).

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

10040411520 is a wasteful number, since it uses less digits than its factorization.

10040411520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1743152 (or 1743137 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 10040411520 its reverse (2511404001), we get a palindrome (12551815521).

The spelling of 10040411520 in words is "ten billion, forty million, four hundred eleven thousand, five hundred twenty".