10102410044040 has 64 divisors (see below), whose sum is σ = 30313824615360. Its totient is φ = 2693389835520.

The previous prime is 10102410044017. The next prime is 10102410044047. The reversal of 10102410044040 is 4044001420101.

It is a junction number, because it is equal to n+sod(n) for n = 10102410043998 and 10102410044016.

It is not an unprimeable number, because it can be changed into a prime (10102410044047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8605066 + ... + 9708345.

It is an arithmetic number, because the mean of its divisors is an integer number (473653509615).

Almost surely, 2^{10102410044040} is an apocalyptic number.

10102410044040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102410044040 is an abundant number, since it is smaller than the sum of its proper divisors (20211414571320).

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

10102410044040 is a wasteful number, since it uses less digits than its factorization.

10102410044040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18318022 (or 18318018 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 10102410044040 its reverse (4044001420101), we get a palindrome (14146411464141).

The spelling of 10102410044040 in words is "ten trillion, one hundred two billion, four hundred ten million, forty-four thousand, forty".