434131502421456 has 80 divisors (see below), whose sum is σ = 1424135087318400. Its totient is φ = 124037572119552.

The previous prime is 434131502421433. The next prime is 434131502421457. The reversal of 434131502421456 is 654124205131434.

434131502421456 is a `hidden beast` number, since 4 + 3 + 4 + 1 + 3 + 150 + 2 + 42 + 1 + 456 = 666.

It is a super-2 number, since 2×434131502421456² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434131502421457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71780999361 + ... + 71781005408.

It is an arithmetic number, because the mean of its divisors is an integer number (17801688591480).

Almost surely, 2^{434131502421456} is an apocalyptic number.

It is an amenable number.

434131502421456 is an abundant number, since it is smaller than the sum of its proper divisors (990003584896944).

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

434131502421456 is a wasteful number, since it uses less digits than its factorization.

434131502421456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143562004793 (or 143562004781 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 434131502421456 in words is "four hundred thirty-four trillion, one hundred thirty-one billion, five hundred two million, four hundred twenty-one thousand, four hundred fifty-six".