934129753920 has 336 divisors, whose sum is σ = 3513485439360. Its totient is φ = 225914572800.

The previous prime is 934129753889. The next prime is 934129753933. The reversal of 934129753920 is 29357921439.

934129753920 is a `hidden beast` number, since 9 + 3 + 4 + 12 + 97 + 539 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13302261 + ... + 13372299.

Almost surely, 2^934129753920 is an apocalyptic number.

934129753920 is a gapful number since it is divisible by the number (90) 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 934129753920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756742719680).

934129753920 is an abundant number, since it is smaller than the sum of its proper divisors (2579355685440).

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

934129753920 is a wasteful number, since it uses less digits than its factorization.

934129753920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70494 (or 70481 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 934129753920 in words is "nine hundred thirty-four billion, one hundred twenty-nine million, seven hundred fifty-three thousand, nine hundred twenty".