400364045640 has 192 divisors, whose sum is σ = 1403313387840. Its totient is φ = 98407733760.

The previous prime is 400364045633. The next prime is 400364045897. The reversal of 400364045640 is 46540463004.

400364045640 is a `hidden beast` number, since 4 + 0 + 0 + 3 + 6 + 4 + 0 + 4 + 5 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 400364045595 and 400364045604.

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 47 ways as a sum of consecutive naturals, for example, 3171979 + ... + 3295781.

It is an arithmetic number, because the mean of its divisors is an integer number (7308923895).

Almost surely, 2^400364045640 is an apocalyptic number.

400364045640 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 400364045640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701656693920).

400364045640 is an abundant number, since it is smaller than the sum of its proper divisors (1002949342200).

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

400364045640 is a wasteful number, since it uses less digits than its factorization.

400364045640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124524 (or 124517 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 400364045640 in words is "four hundred billion, three hundred sixty-four million, forty-five thousand, six hundred forty".