434079375840 has 336 divisors, whose sum is σ = 1677349051056. Its totient is φ = 105231052800.

The previous prime is 434079375833. The next prime is 434079375857. The reversal of 434079375840 is 48573970434.

434079375840 is a `hidden beast` number, since 4 + 3 + 407 + 93 + 75 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1113880 + ... + 1452200.

It is an arithmetic number, because the mean of its divisors is an integer number (4992110271).

Almost surely, 2^434079375840 is an apocalyptic number.

434079375840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434079375840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838674525528).

434079375840 is an abundant number, since it is smaller than the sum of its proper divisors (1243269675216).

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

434079375840 is a wasteful number, since it uses less digits than its factorization.

434079375840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338365 (or 338342 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 434079375840 in words is "four hundred thirty-four billion, seventy-nine million, three hundred seventy-five thousand, eight hundred forty".