5557303440 has 240 divisors, whose sum is σ = 20151553968. Its totient is φ = 1364373504.

The previous prime is 5557303373. The next prime is 5557303457. The reversal of 5557303440 is 443037555.

5557303440 is a `hidden beast` number, since 5 + 557 + 30 + 34 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 414692496 + 5142610944 = 20364^2 + 71712^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 = 5557303395 and 5557303404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6336282 + ... + 6337158.

Almost surely, 2^5557303440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5557303440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10075776984).

5557303440 is an abundant number, since it is smaller than the sum of its proper divisors (14594250528).

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

5557303440 is a wasteful number, since it uses less digits than its factorization.

5557303440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 36.

The square root of 5557303440 is about 74547.3234932013. The cubic root of 5557303440 is about 1771.2833362669.

The spelling of 5557303440 in words is "five billion, five hundred fifty-seven million, three hundred three thousand, four hundred forty".