10034408000 has 56 divisors (see below), whose sum is σ = 24850231224. Its totient is φ = 4013760000.

The previous prime is 10034407993. The next prime is 10034408063. The reversal of 10034408000 is 80443001.

It can be written as a sum of positive squares in 4 ways, for example, as 21603904 + 10012804096 = 4648^2 + 100064^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 619151 + ... + 635150.

It is an arithmetic number, because the mean of its divisors is an integer number (443754129).

Almost surely, 2^10034408000 is an apocalyptic number.

10034408000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10034408000 is an abundant number, since it is smaller than the sum of its proper divisors (14815823224).

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

10034408000 is an equidigital number, since it uses as much as digits as its factorization.

10034408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254328 (or 1254308 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The spelling of 10034408000 in words is "ten billion, thirty-four million, four hundred eight thousand".