10140285024000 has 504 divisors, whose sum is σ = 37873837830192. Its totient is φ = 2704069785600.

The previous prime is 10140285023993. The next prime is 10140285024011. The reversal of 10140285024000 is 42058204101.

10140285024000 is a `hidden beast` number, since 1 + 0 + 140 + 285 + 0 + 240 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 23110659 + ... + 23545341.

Almost surely, 2^{10140285024000} is an apocalyptic number.

10140285024000 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 10140285024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18936918915096).

10140285024000 is an abundant number, since it is smaller than the sum of its proper divisors (27733552806192).

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

10140285024000 is an frugal number, since it uses more digits than its factorization.

10140285024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434732 (or 434693 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 10140285024000 in words is "ten trillion, one hundred forty billion, two hundred eighty-five million, twenty-four thousand".