4931634240 has 672 divisors, whose sum is σ = 19821997440. Its totient is φ = 1147170816.

The previous prime is 4931634223. The next prime is 4931634271. The reversal of 4931634240 is 424361394.

It is a happy number.

4931634240 is a `hidden beast` number, since 493 + 163 + 4 + 2 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4931634195 and 4931634204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59417239 + ... + 59417321.

It is an arithmetic number, because the mean of its divisors is an integer number (29497020).

Almost surely, 2^4931634240 is an apocalyptic number.

4931634240 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 4931634240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9910998720).

4931634240 is an abundant number, since it is smaller than the sum of its proper divisors (14890363200).

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

4931634240 is a wasteful number, since it uses less digits than its factorization.

4931634240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 4931634240 is about 70225.5953338952. The cubic root of 4931634240 is about 1702.1465663896.

The spelling of 4931634240 in words is "four billion, nine hundred thirty-one million, six hundred thirty-four thousand, two hundred forty".