401434412421120 has 208 divisors, whose sum is σ = 1383235874446272. Its totient is φ = 98814624399360.

The previous prime is 401434412421109. The next prime is 401434412421149. The reversal of 401434412421120 is 21124214434104.

It is a tau number, because it is divible by the number of its divisors (208).

It is a super-2 number, since 2×401434412421120² (a number of 30 digits) contains 22 as substring.

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, 250499866 + ... + 252097305.

Almost surely, 2^{401434412421120} is an apocalyptic number.

401434412421120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401434412421120 is an abundant number, since it is smaller than the sum of its proper divisors (981801462025152).

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

401434412421120 is a wasteful number, since it uses less digits than its factorization.

401434412421120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502597216 (or 502597194 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

Adding to 401434412421120 its reverse (21124214434104), we get a palindrome (422558626855224).

The spelling of 401434412421120 in words is "four hundred one trillion, four hundred thirty-four billion, four hundred twelve million, four hundred twenty-one thousand, one hundred twenty".