4641450840 has 384 divisors, whose sum is σ = 17343668160. Its totient is φ = 1066401792.

The previous prime is 4641450809. The next prime is 4641450901. The reversal of 4641450840 is 480541464.

It is a happy number.

4641450840 is a `hidden beast` number, since 4 + 641 + 4 + 5 + 0 + 8 + 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 = 4641450795 and 4641450804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18059992 + ... + 18060248.

Almost surely, 2^4641450840 is an apocalyptic number.

4641450840 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 4641450840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8671834080).

4641450840 is an abundant number, since it is smaller than the sum of its proper divisors (12702217320).

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

4641450840 is a wasteful number, since it uses less digits than its factorization.

4641450840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 4641450840 is about 68128.1941636500. The cubic root of 4641450840 is about 1668.0840062585.

The spelling of 4641450840 in words is "four billion, six hundred forty-one million, four hundred fifty thousand, eight hundred forty".