434538693120 has 160 divisors (see below), whose sum is σ = 1587618350208. Its totient is φ = 99323117568.

The previous prime is 434538693097. The next prime is 434538693181. The reversal of 434538693120 is 21396835434.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a self number, because there is not a number n which added to its sum of digits gives 434538693120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3987709 + ... + 4095228.

Almost surely, 2^434538693120 is an apocalyptic number.

434538693120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434538693120 is an abundant number, since it is smaller than the sum of its proper divisors (1153079657088).

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

434538693120 is an equidigital number, since it uses as much as digits as its factorization.

434538693120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8082970 (or 8082954 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 434538693120 in words is "four hundred thirty-four billion, five hundred thirty-eight million, six hundred ninety-three thousand, one hundred twenty".