10023875605440 has 84 divisors (see below), whose sum is σ = 34477955477784. Its totient is φ = 2673033494016.

The previous prime is 10023875605391. The next prime is 10023875605441. The reversal of 10023875605440 is 4450657832001.

10023875605440 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 3 + 87 + 560 + 5 + 4 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023875605441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1740253302 + ... + 1740259061.

It is an arithmetic number, because the mean of its divisors is an integer number (410451850926).

Almost surely, 2^{10023875605440} is an apocalyptic number.

10023875605440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10023875605440 is an abundant number, since it is smaller than the sum of its proper divisors (24454079872344).

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

10023875605440 is a wasteful number, since it uses less digits than its factorization.

10023875605440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3480512386 (or 3480512373 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 10023875605440 in words is "ten trillion, twenty-three billion, eight hundred seventy-five million, six hundred five thousand, four hundred forty".