5261959440 has 120 divisors (see below), whose sum is σ = 18149111448. Its totient is φ = 1365258240.

The previous prime is 5261959429. The next prime is 5261959441. The reversal of 5261959440 is 449591625.

5261959440 is a `hidden beast` number, since 5 + 2 + 6 + 19 + 594 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 555450624 + 4706508816 = 23568^2 + 68604^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×5261959440² = 55376434296410227200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5261959441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72121 + ... + 125400.

Almost surely, 2^5261959440 is an apocalyptic number.

It is an amenable number.

5261959440 is an abundant number, since it is smaller than the sum of its proper divisors (12887152008).

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

5261959440 is a wasteful number, since it uses less digits than its factorization.

5261959440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197577 (or 197568 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 5261959440 is about 72539.3647614866. The cubic root of 5261959440 is about 1739.3320464320.

The spelling of 5261959440 in words is "five billion, two hundred sixty-one million, nine hundred fifty-nine thousand, four hundred forty".