400329216000 has 1560 divisors, whose sum is σ = 1744965884376. Its totient is φ = 91039334400.

The previous prime is 400329215989. The next prime is 400329216029. The reversal of 400329216000 is 612923004.

400329216000 is a `hidden beast` number, since 4 + 0 + 0 + 32 + 9 + 21 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4698279936 + 395630936064 = 68544^2 + 628992^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2032127902 + ... + 2032128098.

Almost surely, 2^400329216000 is an apocalyptic number.

400329216000 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 400329216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872482942188).

400329216000 is an abundant number, since it is smaller than the sum of its proper divisors (1344636668376).

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

400329216000 is an equidigital number, since it uses as much as digits as its factorization.

400329216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 400329216000 in words is "four hundred billion, three hundred twenty-nine million, two hundred sixteen thousand".