400497521040 has 400 divisors, whose sum is σ = 1402897106160. Its totient is φ = 105889628160.

The previous prime is 400497521009. The next prime is 400497521051. The reversal of 400497521040 is 40125794004.

It is a happy number.

400497521040 is a `hidden beast` number, since 4 + 0 + 0 + 4 + 97 + 521 + 0 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5992704 + 400491528336 = 2448^2 + 632844^2 .

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 = 400497520986 and 400497521004.

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 79 ways as a sum of consecutive naturals, for example, 495052156 + ... + 495052964.

Almost surely, 2^400497521040 is an apocalyptic number.

400497521040 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 400497521040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701448553080).

400497521040 is an abundant number, since it is smaller than the sum of its proper divisors (1002399585120).

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

400497521040 is a wasteful number, since it uses less digits than its factorization.

400497521040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 400497521040 in words is "four hundred billion, four hundred ninety-seven million, five hundred twenty-one thousand, forty".