434978755920 has 120 divisors (see below), whose sum is σ = 1460928063816. Its totient is φ = 115984456704.

The previous prime is 434978755907. The next prime is 434978755951. The reversal of 434978755920 is 29557879434.

434978755920 is a `hidden beast` number, since 4 + 3 + 4 + 9 + 78 + 7 + 559 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13860823824 + 421117932096 = 117732^2 + 648936^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13039102 + ... + 13072418.

Almost surely, 2^434978755920 is an apocalyptic number.

434978755920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434978755920 is an abundant number, since it is smaller than the sum of its proper divisors (1025949307896).

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

434978755920 is a wasteful number, since it uses less digits than its factorization.

434978755920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51469 (or 51460 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 434978755920 in words is "four hundred thirty-four billion, nine hundred seventy-eight million, seven hundred fifty-five thousand, nine hundred twenty".