404145734720 has 336 divisors, whose sum is σ = 1194211081728. Its totient is φ = 127557181440.

The previous prime is 404145734701. The next prime is 404145734747. The reversal of 404145734720 is 27437541404.

It is a super-2 number, since 2×404145734720² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163158122 + ... + 163160598.

It is an arithmetic number, because the mean of its divisors is an integer number (3554199648).

Almost surely, 2^404145734720 is an apocalyptic number.

404145734720 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 404145734720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597105540864).

404145734720 is an abundant number, since it is smaller than the sum of its proper divisors (790065347008).

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

404145734720 is a wasteful number, since it uses less digits than its factorization.

404145734720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2958 (or 2935 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 41.

The spelling of 404145734720 in words is "four hundred four billion, one hundred forty-five million, seven hundred thirty-four thousand, seven hundred twenty".