400133019312 has 640 divisors, whose sum is σ = 1322582016000. Its totient is φ = 114949186560.

The previous prime is 400133019311. The next prime is 400133019329. The reversal of 400133019312 is 213910331004.

400133019312 is a `hidden beast` number, since 4 + 0 + 0 + 1 + 330 + 19 + 312 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (400133019311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 646418139 + ... + 646418757.

It is an arithmetic number, because the mean of its divisors is an integer number (2066534400).

Almost surely, 2^400133019312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400133019312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661291008000).

400133019312 is an abundant number, since it is smaller than the sum of its proper divisors (922448996688).

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

400133019312 is a wasteful number, since it uses less digits than its factorization.

400133019312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 400133019312 in words is "four hundred billion, one hundred thirty-three million, nineteen thousand, three hundred twelve".