400491990360 has 640 divisors, whose sum is σ = 1692249546240. Its totient is φ = 83212842240.

The previous prime is 400491990347. The next prime is 400491990391. The reversal of 400491990360 is 63099194004.

400491990360 is a `hidden beast` number, since 40 + 0 + 491 + 9 + 90 + 36 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 30180447 + ... + 30193713.

It is an arithmetic number, because the mean of its divisors is an integer number (2644139916).

Almost surely, 2^400491990360 is an apocalyptic number.

400491990360 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 400491990360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846124773120).

400491990360 is an abundant number, since it is smaller than the sum of its proper divisors (1291757555880).

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

400491990360 is a wasteful number, since it uses less digits than its factorization.

400491990360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13330 (or 13295 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 400491990360 in words is "four hundred billion, four hundred ninety-one million, nine hundred ninety thousand, three hundred sixty".