404270455680 has 1920 divisors, whose sum is σ = 1908284495040. Its totient is φ = 79148482560.

The previous prime is 404270455643. The next prime is 404270455717. The reversal of 404270455680 is 86554072404.

404270455680 is a `hidden beast` number, since 4 + 0 + 42 + 7 + 0 + 45 + 568 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (404270455643) and next prime (404270455717).

It is a tau number, because it is divible by the number of its divisors (1920).

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 polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5693950045 + ... + 5693950115.

Almost surely, 2^404270455680 is an apocalyptic number.

404270455680 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 404270455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954142247520).

404270455680 is an abundant number, since it is smaller than the sum of its proper divisors (1504014039360).

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

404270455680 is a wasteful number, since it uses less digits than its factorization.

404270455680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 404270455680 in words is "four hundred four billion, two hundred seventy million, four hundred fifty-five thousand, six hundred eighty".