434280157014432 has 48 divisors (see below), whose sum is σ = 1145953922222592. Its totient is φ = 144002146298880.

The previous prime is 434280157014421. The next prime is 434280157014433. The reversal of 434280157014432 is 234410751082434.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×434280157014432² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (434280157014433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11842263433 + ... + 11842300104.

It is an arithmetic number, because the mean of its divisors is an integer number (23874040046304).

Almost surely, 2^{434280157014432} is an apocalyptic number.

It is an amenable number.

434280157014432 is an abundant number, since it is smaller than the sum of its proper divisors (711673765208160).

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

434280157014432 is a wasteful number, since it uses less digits than its factorization.

434280157014432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23684563741 (or 23684563733 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 48.

The spelling of 434280157014432 in words is "four hundred thirty-four trillion, two hundred eighty billion, one hundred fifty-seven million, fourteen thousand, four hundred thirty-two".