400151535336 has 384 divisors, whose sum is σ = 1348008480000. Its totient is φ = 106814066688.

The previous prime is 400151535331. The next prime is 400151535349. The reversal of 400151535336 is 633535151004.

400151535336 is a `hidden beast` number, since 40 + 0 + 1 + 51 + 535 + 3 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 400151535336.

It is not an unprimeable number, because it can be changed into a prime (400151535331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58353220 + ... + 58360076.

It is an arithmetic number, because the mean of its divisors is an integer number (3510438750).

Almost surely, 2^400151535336 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 400151535336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674004240000).

400151535336 is an abundant number, since it is smaller than the sum of its proper divisors (947856944664).

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

400151535336 is a wasteful number, since it uses less digits than its factorization.

400151535336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7046 (or 7025 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 400151535336 in words is "four hundred billion, one hundred fifty-one million, five hundred thirty-five thousand, three hundred thirty-six".