5412420336960 has 2016 divisors, whose sum is σ = 25304455717632. Its totient is φ = 1074476482560.

The previous prime is 5412420336929. The next prime is 5412420336979. The reversal of 5412420336960 is 696330242145.

5412420336960 is a `hidden beast` number, since 5 + 4 + 1 + 24 + 203 + 369 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1563829630 + ... + 1563833090.

It is an arithmetic number, because the mean of its divisors is an integer number (12551813352).

Almost surely, 2^{5412420336960} 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 5412420336960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12652227858816).

5412420336960 is an abundant number, since it is smaller than the sum of its proper divisors (19892035380672).

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

5412420336960 is a wasteful number, since it uses less digits than its factorization.

5412420336960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3543 (or 3508 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 5412420336960 in words is "five trillion, four hundred twelve billion, four hundred twenty million, three hundred thirty-six thousand, nine hundred sixty".