400145640960 has 640 divisors, whose sum is σ = 1464710252544. Its totient is φ = 92319252480.

The previous prime is 400145640911. The next prime is 400145640989. The reversal of 400145640960 is 69046541004.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 731527407 + ... + 731527953.

Almost surely, 2^400145640960 is an apocalyptic number.

400145640960 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 400145640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732355126272).

400145640960 is an abundant number, since it is smaller than the sum of its proper divisors (1064564611584).

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

400145640960 is a wasteful number, since it uses less digits than its factorization.

400145640960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 400145640960 in words is "four hundred billion, one hundred forty-five million, six hundred forty thousand, nine hundred sixty".