400730916000 has 96 divisors (see below), whose sum is σ = 1312794520128. Its totient is φ = 106861574400.

The previous prime is 400730915953. The next prime is 400730916007. The reversal of 400730916000 is 619037004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (400730916007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16685122 + ... + 16709121.

It is an arithmetic number, because the mean of its divisors is an integer number (13674942918).

Almost surely, 2^400730916000 is an apocalyptic number.

400730916000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400730916000 is an abundant number, since it is smaller than the sum of its proper divisors (912063604128).

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

400730916000 is a wasteful number, since it uses less digits than its factorization.

400730916000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33394271 (or 33394253 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The spelling of 400730916000 in words is "four hundred billion, seven hundred thirty million, nine hundred sixteen thousand".