4641249480 has 128 divisors (see below), whose sum is σ = 16131052800. Its totient is φ = 1046310912.

The previous prime is 4641249479. The next prime is 4641249497. The reversal of 4641249480 is 849421464.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23476 + ... + 99164.

It is an arithmetic number, because the mean of its divisors is an integer number (126023850).

Almost surely, 2^4641249480 is an apocalyptic number.

4641249480 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 4641249480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8065526400).

4641249480 is an abundant number, since it is smaller than the sum of its proper divisors (11489803320).

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

4641249480 is a wasteful number, since it uses less digits than its factorization.

4641249480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75783 (or 75779 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 4641249480 is about 68126.7163453516. The cubic root of 4641249480 is about 1668.0598837543.

The spelling of 4641249480 in words is "four billion, six hundred forty-one million, two hundred forty-nine thousand, four hundred eighty".