5441405880960 has 768 divisors, whose sum is σ = 22799332258560. Its totient is φ = 1167394996224.

The previous prime is 5441405880931. The next prime is 5441405880973. The reversal of 5441405880960 is 690885041445.

5441405880960 is a `hidden beast` number, since 5 + 44 + 14 + 0 + 588 + 0 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×5441405880960² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5441405880897 and 5441405880906.

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 95 ways as a sum of consecutive naturals, for example, 255658479 + ... + 255679761.

It is an arithmetic number, because the mean of its divisors is an integer number (29686630545).

Almost surely, 2^{5441405880960} 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 5441405880960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11399666129280).

5441405880960 is an abundant number, since it is smaller than the sum of its proper divisors (17357926377600).

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

5441405880960 is a wasteful number, since it uses less digits than its factorization.

5441405880960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21705 (or 21690 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 5441405880960 in words is "five trillion, four hundred forty-one billion, four hundred five million, eight hundred eighty thousand, nine hundred sixty".