434130440033232 has 160 divisors (see below), whose sum is σ = 1300594014869760. Its totient is φ = 138386471731200.

The previous prime is 434130440033219. The next prime is 434130440033243. The reversal of 434130440033232 is 232330044031434.

434130440033232 is a `hidden beast` number, since 4 + 3 + 4 + 13 + 0 + 4 + 400 + 3 + 3 + 232 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38055232 + ... + 48129632.

It is an arithmetic number, because the mean of its divisors is an integer number (8128712592936).

Almost surely, 2^{434130440033232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434130440033232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650297007434880).

434130440033232 is an abundant number, since it is smaller than the sum of its proper divisors (866463574836528).

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

434130440033232 is a wasteful number, since it uses less digits than its factorization.

434130440033232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10078778 (or 10078766 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 434130440033232 its reverse (232330044031434), we get a palindrome (666460484064666).

The spelling of 434130440033232 in words is "four hundred thirty-four trillion, one hundred thirty billion, four hundred forty million, thirty-three thousand, two hundred thirty-two".