400760133384 has 96 divisors (see below), whose sum is σ = 1085300795520. Its totient is φ = 123265029888.

The previous prime is 400760133379. The next prime is 400760133427. The reversal of 400760133384 is 483331067004.

It is a super-2 number, since 2×400760133384² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 11855034 + ... + 11888790.

It is an arithmetic number, because the mean of its divisors is an integer number (11305216620).

Almost surely, 2^400760133384 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 400760133384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542650397760).

400760133384 is an abundant number, since it is smaller than the sum of its proper divisors (684540662136).

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

400760133384 is a wasteful number, since it uses less digits than its factorization.

400760133384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36719 (or 36702 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 400760133384 in words is "four hundred billion, seven hundred sixty million, one hundred thirty-three thousand, three hundred eighty-four".