4322557440 has 320 divisors, whose sum is σ = 16027545600. Its totient is φ = 1102159872.

The previous prime is 4322557433. The next prime is 4322557453. The reversal of 4322557440 is 447552234.

4322557440 is a `hidden beast` number, since 43 + 2 + 2 + 5 + 574 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 = 4322557395 and 4322557404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1588401 + ... + 1591119.

It is an arithmetic number, because the mean of its divisors is an integer number (50086080).

Almost surely, 2^4322557440 is an apocalyptic number.

4322557440 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 4322557440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8013772800).

4322557440 is an abundant number, since it is smaller than the sum of its proper divisors (11704988160).

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

4322557440 is a wasteful number, since it uses less digits than its factorization.

4322557440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2774 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

The square root of 4322557440 is about 65746.1591273589. The cubic root of 4322557440 is about 1628.9718936032.

The spelling of 4322557440 in words is "four billion, three hundred twenty-two million, five hundred fifty-seven thousand, four hundred forty".