404406771120 has 480 divisors, whose sum is σ = 1533771832320. Its totient is φ = 97867123200.

The previous prime is 404406771113. The next prime is 404406771173. The reversal of 404406771120 is 21177604404.

It is a happy number.

404406771120 is a `hidden beast` number, since 40 + 440 + 67 + 7 + 112 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 216143785 + ... + 216145655.

It is an arithmetic number, because the mean of its divisors is an integer number (3195357984).

Almost surely, 2^404406771120 is an apocalyptic number.

404406771120 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 404406771120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766885916160).

404406771120 is an abundant number, since it is smaller than the sum of its proper divisors (1129365061200).

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

404406771120 is a wasteful number, since it uses less digits than its factorization.

404406771120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2742 (or 2719 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 404406771120 in words is "four hundred four billion, four hundred six million, seven hundred seventy-one thousand, one hundred twenty".