10043139110400 has 960 divisors, whose sum is σ = 40307639074560. Its totient is φ = 2429057433600.

The previous prime is 10043139110353. The next prime is 10043139110437. The reversal of 10043139110400 is 401193134001.

10043139110400 is a `hidden beast` number, since 10 + 0 + 4 + 3 + 139 + 110 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×10043139110400² (a number of 27 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 1775344372 + ... + 1775350028.

It is an arithmetic number, because the mean of its divisors is an integer number (41987124036).

Almost surely, 2^{10043139110400} is an apocalyptic number.

10043139110400 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 10043139110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20153819537280).

10043139110400 is an abundant number, since it is smaller than the sum of its proper divisors (30264499964160).

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

10043139110400 is a wasteful number, since it uses less digits than its factorization.

10043139110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6172 (or 6145 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 10043139110400 in words is "ten trillion, forty-three billion, one hundred thirty-nine million, one hundred ten thousand, four hundred".