10401934000 has 80 divisors (see below), whose sum is σ = 26245552320. Its totient is φ = 3979852800.

The previous prime is 10401933961. The next prime is 10401934003. The reversal of 10401934000 is 43910401.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (10401934003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 67065 + ... + 159064.

It is an arithmetic number, because the mean of its divisors is an integer number (328069404).

Almost surely, 2^10401934000 is an apocalyptic number.

10401934000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10401934000 is an abundant number, since it is smaller than the sum of its proper divisors (15843618320).

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

10401934000 is a wasteful number, since it uses less digits than its factorization.

10401934000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226175 (or 226159 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The spelling of 10401934000 in words is "ten billion, four hundred one million, nine hundred thirty-four thousand".