10506402906040 has 32 divisors (see below), whose sum is σ = 23963234032080. Its totient is φ = 4144991830272.

The previous prime is 10506402906017. The next prime is 10506402906089. The reversal of 10506402906040 is 4060920460501.

It is a super-2 number, since 2×10506402906040² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1799038674 + ... + 1799044513.

Almost surely, 2^{10506402906040} is an apocalyptic number.

10506402906040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10506402906040 is an abundant number, since it is smaller than the sum of its proper divisors (13456831126040).

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

10506402906040 is a wasteful number, since it uses less digits than its factorization.

10506402906040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3598083271 (or 3598083267 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 10506402906040 in words is "ten trillion, five hundred six billion, four hundred two million, nine hundred six thousand, forty".