400839494400 has 432 divisors, whose sum is σ = 1472064844320. Its totient is φ = 106728652800.

The previous prime is 400839494333. The next prime is 400839494441. The reversal of 400839494400 is 4494938004.

400839494400 is a `hidden beast` number, since 40 + 0 + 83 + 9 + 494 + 40 + 0 = 666.

400839494400 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152235484 + ... + 152238116.

It is an arithmetic number, because the mean of its divisors is an integer number (3407557510).

Almost surely, 2^400839494400 is an apocalyptic number.

400839494400 is a gapful number since it is divisible by the number (40) 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 400839494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736032422160).

400839494400 is an abundant number, since it is smaller than the sum of its proper divisors (1071225349920).

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

400839494400 is a wasteful number, since it uses less digits than its factorization.

400839494400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3549 (or 3524 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 400839494400 in words is "four hundred billion, eight hundred thirty-nine million, four hundred ninety-four thousand, four hundred".