4456381440 has 528 divisors, whose sum is σ = 17205018624. Its totient is φ = 980582400.

The previous prime is 4456381427. The next prime is 4456381441. The reversal of 4456381440 is 441836544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4456381441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23331745 + ... + 23331935.

Almost surely, 2^4456381440 is an apocalyptic number.

4456381440 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 4456381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8602509312).

4456381440 is an abundant number, since it is smaller than the sum of its proper divisors (12748637184).

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

4456381440 is a wasteful number, since it uses less digits than its factorization.

4456381440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The square root of 4456381440 is about 66756.1341001709. The cubic root of 4456381440 is about 1645.6120251715.

The spelling of 4456381440 in words is "four billion, four hundred fifty-six million, three hundred eighty-one thousand, four hundred forty".