5618101440 has 448 divisors, whose sum is σ = 21498494976. Its totient is φ = 1215295488.

The previous prime is 5618101429. The next prime is 5618101457. The reversal of 5618101440 is 441018165.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5618101398 and 5618101407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25193169 + ... + 25193391.

It is an arithmetic number, because the mean of its divisors is an integer number (47987712).

Almost surely, 2^5618101440 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 5618101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10749247488).

5618101440 is an abundant number, since it is smaller than the sum of its proper divisors (15880393536).

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

5618101440 is a wasteful number, since it uses less digits than its factorization.

5618101440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 5618101440 is about 74953.9954905674. The cubic root of 5618101440 is about 1777.7193195129.

The spelling of 5618101440 in words is "five billion, six hundred eighteen million, one hundred one thousand, four hundred forty".