10291386374400 has 216 divisors, whose sum is σ = 34393644638080. Its totient is φ = 2709630443520.

The previous prime is 10291386374389. The next prime is 10291386374413. The reversal of 10291386374400 is 447368319201.

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 10291386374400.

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 23 ways as a sum of consecutive naturals, for example, 1875667 + ... + 4909266.

Almost surely, 2^{10291386374400} is an apocalyptic number.

10291386374400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10291386374400 is an abundant number, since it is smaller than the sum of its proper divisors (24102258263680).

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

10291386374400 is an equidigital number, since it uses as much as digits as its factorization.

10291386374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6785041 (or 6785022 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 10291386374400 in words is "ten trillion, two hundred ninety-one billion, three hundred eighty-six million, three hundred seventy-four thousand, four hundred".