400196916000 has 1152 divisors, whose sum is σ = 1731677875200. Its totient is φ = 89471692800.

The previous prime is 400196915981. The next prime is 400196916011. The reversal of 400196916000 is 619691004.

400196916000 is a `hidden beast` number, since 40 + 0 + 1 + 9 + 6 + 9 + 1 + 600 + 0 = 666.

It is a super-2 number, since 2×400196916000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 248723196 + ... + 248724804.

It is an arithmetic number, because the mean of its divisors is an integer number (1503192600).

Almost surely, 2^400196916000 is an apocalyptic number.

400196916000 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 400196916000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865838937600).

400196916000 is an abundant number, since it is smaller than the sum of its proper divisors (1331480959200).

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

400196916000 is a wasteful number, since it uses less digits than its factorization.

400196916000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 400196916000 in words is "four hundred billion, one hundred ninety-six million, nine hundred sixteen thousand".