9401456904 has 64 divisors (see below), whose sum is σ = 27039267840. Its totient is φ = 2668334400.

The previous prime is 9401456903. The next prime is 9401456921. The reversal of 9401456904 is 4096541049.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (9401456903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159934 + ... + 210669.

It is an arithmetic number, because the mean of its divisors is an integer number (422488560).

Almost surely, 2^9401456904 is an apocalyptic number.

It is an amenable number.

9401456904 is an abundant number, since it is smaller than the sum of its proper divisors (17637810936).

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

9401456904 is a wasteful number, since it uses less digits than its factorization.

9401456904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370770 (or 370766 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 9401456904 is about 96961.1102659205. The cubic root of 9401456904 is about 2110.5633218117.

The spelling of 9401456904 in words is "nine billion, four hundred one million, four hundred fifty-six thousand, nine hundred four".