4561249440 has 288 divisors, whose sum is σ = 16549396416. Its totient is φ = 1047121920.

The previous prime is 4561249409. The next prime is 4561249477. The reversal of 4561249440 is 449421654.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1904884 + ... + 1907276.

It is an arithmetic number, because the mean of its divisors is an integer number (57463182).

Almost surely, 2^4561249440 is an apocalyptic number.

4561249440 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 4561249440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8274698208).

4561249440 is an abundant number, since it is smaller than the sum of its proper divisors (11988146976).

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

4561249440 is a wasteful number, since it uses less digits than its factorization.

4561249440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2460 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 4561249440 is about 67537.0227356818. The cubic root of 4561249440 is about 1658.4203097624.

It can be divided in two parts, 456124 and 9440, that added together give a palindrome (465564).

The spelling of 4561249440 in words is "four billion, five hundred sixty-one million, two hundred forty-nine thousand, four hundred forty".