10402022024800 has 288 divisors, whose sum is σ = 29816159643648. Its totient is φ = 3468836689920.

The previous prime is 10402022024767. The next prime is 10402022024819. The reversal of 10402022024800 is 842022020401.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 47 ways as a sum of consecutive naturals, for example, 780515737 + ... + 780529063.

It is an arithmetic number, because the mean of its divisors is an integer number (103528332096).

Almost surely, 2^{10402022024800} is an apocalyptic number.

10402022024800 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 10402022024800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14908079821824).

10402022024800 is an abundant number, since it is smaller than the sum of its proper divisors (19414137618848).

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

10402022024800 is a wasteful number, since it uses less digits than its factorization.

10402022024800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17158 (or 17145 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

The spelling of 10402022024800 in words is "ten trillion, four hundred two billion, twenty-two million, twenty-four thousand, eight hundred".