4940452440 has 1152 divisors, whose sum is σ = 22587102720. Its totient is φ = 958003200.

The previous prime is 4940452373. The next prime is 4940452457. The reversal of 4940452440 is 442540494.

It is a happy number.

4940452440 is a `hidden beast` number, since 4 + 9 + 404 + 5 + 244 + 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 = 4940452395 and 4940452404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 120498820 + ... + 120498860.

It is an arithmetic number, because the mean of its divisors is an integer number (19606860).

Almost surely, 2^4940452440 is an apocalyptic number.

4940452440 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 4940452440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11293551360).

4940452440 is an abundant number, since it is smaller than the sum of its proper divisors (17646650280).

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

4940452440 is a wasteful number, since it uses less digits than its factorization.

4940452440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 4940452440 is about 70288.3520933590. The cubic root of 4940452440 is about 1703.1604920427.

The spelling of 4940452440 in words is "four billion, nine hundred forty million, four hundred fifty-two thousand, four hundred forty".