4578013440 has 864 divisors, whose sum is σ = 21320522496. Its totient is φ = 875888640.

The previous prime is 4578013439. The next prime is 4578013493. The reversal of 4578013440 is 443108754.

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 = 4578013395 and 4578013404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11531322 + ... + 11531718.

Almost surely, 2^4578013440 is an apocalyptic number.

4578013440 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 4578013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10660261248).

4578013440 is an abundant number, since it is smaller than the sum of its proper divisors (16742509056).

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

4578013440 is a wasteful number, since it uses less digits than its factorization.

4578013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 4578013440 is about 67661.0186148568. The cubic root of 4578013440 is about 1660.4495613084.

The spelling of 4578013440 in words is "four billion, five hundred seventy-eight million, thirteen thousand, four hundred forty".