4974409440 has 1728 divisors, whose sum is σ = 25410490560. Its totient is φ = 867041280.

The previous prime is 4974409379. The next prime is 4974409441. The reversal of 4974409440 is 449044794.

It is a happy number.

It is a super-2 number, since 2×4974409440² = 49489498553522227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4974409441) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 171531346 + ... + 171531374.

It is an arithmetic number, because the mean of its divisors is an integer number (14705145).

Almost surely, 2^4974409440 is an apocalyptic number.

4974409440 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 4974409440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12705245280).

4974409440 is an abundant number, since it is smaller than the sum of its proper divisors (20436081120).

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

4974409440 is a wasteful number, since it uses less digits than its factorization.

4974409440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 4974409440 is about 70529.4934052415. The cubic root of 4974409440 is about 1707.0536726792.

It can be divided in two parts, 4974 and 409440, that added together give a palindrome (414414).

The spelling of 4974409440 in words is "four billion, nine hundred seventy-four million, four hundred nine thousand, four hundred forty".