4631199840 has 384 divisors, whose sum is σ = 18071424000. Its totient is φ = 1100832768.

The previous prime is 4631199829. The next prime is 4631199883. The reversal of 4631199840 is 489911364.

4631199840 is a `hidden beast` number, since 4 + 631 + 1 + 9 + 9 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1393701 + ... + 1397019.

It is an arithmetic number, because the mean of its divisors is an integer number (47061000).

Almost surely, 2^4631199840 is an apocalyptic number.

4631199840 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 4631199840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9035712000).

4631199840 is an abundant number, since it is smaller than the sum of its proper divisors (13440224160).

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

4631199840 is a wasteful number, since it uses less digits than its factorization.

4631199840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3379 (or 3365 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 4631199840 is about 68052.9194083546. The cubic root of 4631199840 is about 1666.8550706127.

The spelling of 4631199840 in words is "four billion, six hundred thirty-one million, one hundred ninety-nine thousand, eight hundred forty".