949237615440 has 320 divisors, whose sum is σ = 3404962068480. Its totient is φ = 242794782720.

The previous prime is 949237615429. The next prime is 949237615463. The reversal of 949237615440 is 44516732949.

949237615440 is a `hidden beast` number, since 9 + 4 + 9 + 2 + 37 + 61 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7503754 + ... + 7629206.

It is an arithmetic number, because the mean of its divisors is an integer number (10640506464).

Almost surely, 2^949237615440 is an apocalyptic number.

949237615440 is a gapful number since it is divisible by the number (90) 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 949237615440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702481034240).

949237615440 is an abundant number, since it is smaller than the sum of its proper divisors (2455724453040).

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

949237615440 is a wasteful number, since it uses less digits than its factorization.

949237615440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125619 (or 125607 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 949237615440 in words is "nine hundred forty-nine billion, two hundred thirty-seven million, six hundred fifteen thousand, four hundred forty".