5261941440 has 504 divisors, whose sum is σ = 21849386832. Its totient is φ = 1201858560.

The previous prime is 5261941427. The next prime is 5261941441. The reversal of 5261941440 is 441491625.

5261941440 is a `hidden beast` number, since 5 + 26 + 194 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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 = 5261941395 and 5261941404.

It is not an unprimeable number, because it can be changed into a prime (5261941441) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3809550 + ... + 3810930.

It is an arithmetic number, because the mean of its divisors is an integer number (43351958).

Almost surely, 2^5261941440 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 5261941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10924693416).

5261941440 is an abundant number, since it is smaller than the sum of its proper divisors (16587445392).

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

5261941440 is a wasteful number, since it uses less digits than its factorization.

5261941440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5261941440 is about 72539.2406908151. The cubic root of 5261941440 is about 1739.3300631396.

The spelling of 5261941440 in words is "five billion, two hundred sixty-one million, nine hundred forty-one thousand, four hundred forty".