4582272640 has 128 divisors (see below), whose sum is σ = 12229081920. Its totient is φ = 1627422720.

The previous prime is 4582272631. The next prime is 4582272647. The reversal of 4582272640 is 462722854.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4582272593 and 4582272602.

It is not an unprimeable number, because it can be changed into a prime (4582272647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295152 + ... + 310288.

Almost surely, 2^4582272640 is an apocalyptic number.

4582272640 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 4582272640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6114540960).

4582272640 is an abundant number, since it is smaller than the sum of its proper divisors (7646809280).

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

4582272640 is a wasteful number, since it uses less digits than its factorization.

4582272640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15210 (or 15198 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 40.

The square root of 4582272640 is about 67692.4858459194. The cubic root of 4582272640 is about 1660.9643402455.

4582272640 divided by its sum of digits (40) gives a triangular number (114556816 = T₁₅₁₃₆).

The spelling of 4582272640 in words is "four billion, five hundred eighty-two million, two hundred seventy-two thousand, six hundred forty".