4621631040 has 448 divisors, whose sum is σ = 18331891200. Its totient is φ = 1087561728.

The previous prime is 4621631029. The next prime is 4621631089. The reversal of 4621631040 is 401361264.

4621631040 is a `hidden beast` number, since 4 + 6 + 21 + 631 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4621630995 and 4621631013.

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, 2582466 + ... + 2584254.

It is an arithmetic number, because the mean of its divisors is an integer number (40919400).

Almost surely, 2^4621631040 is an apocalyptic number.

4621631040 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 4621631040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9165945600).

4621631040 is an abundant number, since it is smaller than the sum of its proper divisors (13710260160).

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

4621631040 is a wasteful number, since it uses less digits than its factorization.

4621631040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1851 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4621631040 is about 67982.5789449032. The cubic root of 4621631040 is about 1665.7062826149.

It can be divided in two parts, 462163 and 1040, that added together give a triangular number (463203 = T₉₆₂).

The spelling of 4621631040 in words is "four billion, six hundred twenty-one million, six hundred thirty-one thousand, forty".