404197355520 has 312 divisors, whose sum is σ = 1601201056416. Its totient is φ = 92387672064.

The previous prime is 404197355491. The next prime is 404197355521. The reversal of 404197355520 is 25553791404.

404197355520 is a `hidden beast` number, since 4 + 0 + 4 + 1 + 9 + 73 + 55 + 520 = 666.

It is a super-2 number, since 2×404197355520² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (404197355521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1133604 + ... + 1446876.

It is an arithmetic number, because the mean of its divisors is an integer number (5132054668).

Almost surely, 2^404197355520 is an apocalyptic number.

404197355520 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 404197355520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800600528208).

404197355520 is an abundant number, since it is smaller than the sum of its proper divisors (1197003700896).

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

404197355520 is a wasteful number, since it uses less digits than its factorization.

404197355520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313315 (or 313290 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 404197355520 in words is "four hundred four billion, one hundred ninety-seven million, three hundred fifty-five thousand, five hundred twenty".