10427904000 has 624 divisors, whose sum is σ = 39335672064. Its totient is φ = 2654208000.

The previous prime is 10427903971. The next prime is 10427904041. The reversal of 10427904000 is 40972401.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142847964 + ... + 142848036.

It is an arithmetic number, because the mean of its divisors is an integer number (63037936).

Almost surely, 2^10427904000 is an apocalyptic number.

10427904000 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 10427904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19667836032).

10427904000 is an abundant number, since it is smaller than the sum of its proper divisors (28907768064).

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

10427904000 is an equidigital number, since it uses as much as digits as its factorization.

10427904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 10427904000 in words is "ten billion, four hundred twenty-seven million, nine hundred four thousand".