404040422001120 has 96 divisors (see below), whose sum is σ = 1339712978244480. Its totient is φ = 102073369766400.

The previous prime is 404040422001113. The next prime is 404040422001179. The reversal of 404040422001120 is 21100224040404.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×404040422001120² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22151329806 + ... + 22151348045.

It is an arithmetic number, because the mean of its divisors is an integer number (13955343523380).

Almost surely, 2^{404040422001120} is an apocalyptic number.

404040422001120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404040422001120 is an abundant number, since it is smaller than the sum of its proper divisors (935672556243360).

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

404040422001120 is a wasteful number, since it uses less digits than its factorization.

404040422001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44302677888 (or 44302677880 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 404040422001120 its reverse (21100224040404), we get a palindrome (425140646041524).

The spelling of 404040422001120 in words is "four hundred four trillion, forty billion, four hundred twenty-two million, one thousand, one hundred twenty".