404375720040 has 160 divisors (see below), whose sum is σ = 1392302225160. Its totient is φ = 105203404800.

The previous prime is 404375720011. The next prime is 404375720069. The reversal of 404375720040 is 40027573404.

404375720040 is a `hidden beast` number, since 4 + 0 + 43 + 7 + 572 + 0 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (404375720011) and next prime (404375720069).

It can be written as a sum of positive squares in 4 ways, for example, as 325112074596 + 79263645444 = 570186^2 + 281538^2 .

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 = 404375719977 and 404375720004.

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 39 ways as a sum of consecutive naturals, for example, 1389201 + ... + 1654880.

Almost surely, 2^404375720040 is an apocalyptic number.

404375720040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404375720040 is an abundant number, since it is smaller than the sum of its proper divisors (987926505120).

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

404375720040 is a wasteful number, since it uses less digits than its factorization.

404375720040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3044145 (or 3044132 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The spelling of 404375720040 in words is "four hundred four billion, three hundred seventy-five million, seven hundred twenty thousand, forty".