10418923574400 has 576 divisors, whose sum is σ = 37751640615360. Its totient is φ = 2523728486400.

The previous prime is 10418923574357. The next prime is 10418923574429. The reversal of 10418923574400 is 447532981401.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10418923574400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1792345894 + ... + 1792351706.

It is an arithmetic number, because the mean of its divisors is an integer number (65541042735).

Almost surely, 2^{10418923574400} is an apocalyptic number.

10418923574400 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 10418923574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18875820307680).

10418923574400 is an abundant number, since it is smaller than the sum of its proper divisors (27332717040960).

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

10418923574400 is a wasteful number, since it uses less digits than its factorization.

10418923574400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7405 (or 7377 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 10418923574400 in words is "ten trillion, four hundred eighteen billion, nine hundred twenty-three million, five hundred seventy-four thousand, four hundred".