5436399338496 has 440 divisors, whose sum is σ = 18572244968640. Its totient is φ = 1551672557568.

The previous prime is 5436399338431. The next prime is 5436399338521. The reversal of 5436399338496 is 6948339936345.

5436399338496 is a `hidden beast` number, since 5 + 43 + 6 + 3 + 9 + 93 + 3 + 8 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 643890051 + ... + 643898493.

It is an arithmetic number, because the mean of its divisors is an integer number (42209647656).

Almost surely, 2^{5436399338496} is an apocalyptic number.

5436399338496 is a gapful number since it is divisible by the number (56) 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 5436399338496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9286122484320).

5436399338496 is an abundant number, since it is smaller than the sum of its proper divisors (13135845630144).

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

5436399338496 is a wasteful number, since it uses less digits than its factorization.

5436399338496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9591 (or 9564 counting only the distinct ones).

The product of its digits is 1360488960, while the sum is 72.

The spelling of 5436399338496 in words is "five trillion, four hundred thirty-six billion, three hundred ninety-nine million, three hundred thirty-eight thousand, four hundred ninety-six".