4631891040 has 768 divisors, whose sum is σ = 19678740480. Its totient is φ = 1007769600.

The previous prime is 4631891029. The next prime is 4631891081. The reversal of 4631891040 is 401981364.

4631891040 is a `hidden beast` number, since 4 + 631 + 8 + 9 + 10 + 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 = 4631890986 and 4631891004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 75932610 + ... + 75932670.

It is an arithmetic number, because the mean of its divisors is an integer number (25623360).

Almost surely, 2^4631891040 is an apocalyptic number.

4631891040 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 4631891040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9839370240).

4631891040 is an abundant number, since it is smaller than the sum of its proper divisors (15046849440).

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

4631891040 is an equidigital number, since it uses as much as digits as its factorization.

4631891040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4631891040 is about 68057.9976196773. The cubic root of 4631891040 is about 1666.9379917383.

The spelling of 4631891040 in words is "four billion, six hundred thirty-one million, eight hundred ninety-one thousand, forty".