400378163328 has 1280 divisors, whose sum is σ = 1504084982400. Its totient is φ = 103912243200.

The previous prime is 400378163303. The next prime is 400378163333. The reversal of 400378163328 is 823361873004.

400378163328 is a `hidden beast` number, since 4 + 0 + 0 + 3 + 7 + 8 + 1 + 633 + 2 + 8 = 666.

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 159 ways as a sum of consecutive naturals, for example, 1718361100 + ... + 1718361332.

Almost surely, 2^400378163328 is an apocalyptic number.

400378163328 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 400378163328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752042491200).

400378163328 is an abundant number, since it is smaller than the sum of its proper divisors (1103706819072).

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

400378163328 is a wasteful number, since it uses less digits than its factorization.

400378163328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 400378163328 in words is "four hundred billion, three hundred seventy-eight million, one hundred sixty-three thousand, three hundred twenty-eight".