10124005928400 has 2880 divisors, whose sum is σ = 47196339240960. Its totient is φ = 1951041945600.

The previous prime is 10124005928357. The next prime is 10124005928411. The reversal of 10124005928400 is 482950042101.

10124005928400 is a `hidden beast` number, since 1 + 0 + 1 + 24 + 0 + 0 + 592 + 8 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 575 ways as a sum of consecutive naturals, for example, 20788512957 + ... + 20788513443.

It is an arithmetic number, because the mean of its divisors is an integer number (16387617792).

Almost surely, 2^{10124005928400} is an apocalyptic number.

10124005928400 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 10124005928400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23598169620480).

10124005928400 is an abundant number, since it is smaller than the sum of its proper divisors (37072333312560).

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

10124005928400 is a wasteful number, since it uses less digits than its factorization.

10124005928400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 10124005928400 in words is "ten trillion, one hundred twenty-four billion, five million, nine hundred twenty-eight thousand, four hundred".