400460477088 has 96 divisors (see below), whose sum is σ = 1203167903616. Its totient is φ = 114247139328.

The previous prime is 400460477041. The next prime is 400460477111. The reversal of 400460477088 is 880774064004.

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 (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9520 + ... + 894992.

It is an arithmetic number, because the mean of its divisors is an integer number (12532998996).

Almost surely, 2^400460477088 is an apocalyptic number.

400460477088 is a gapful number since it is divisible by the number (48) 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 400460477088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601583951808).

400460477088 is an abundant number, since it is smaller than the sum of its proper divisors (802707426528).

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

400460477088 is a wasteful number, since it uses less digits than its factorization.

400460477088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886166 (or 886158 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 48.

The spelling of 400460477088 in words is "four hundred billion, four hundred sixty million, four hundred seventy-seven thousand, eighty-eight".