5340456576000 has 1408 divisors, whose sum is σ = 24294574187520. Its totient is φ = 1126711296000.

The previous prime is 5340456575977. The next prime is 5340456576047. The reversal of 5340456576000 is 6756540435.

5340456576000 is a `hidden beast` number, since 5 + 34 + 0 + 4 + 5 + 6 + 5 + 7 + 600 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 314487510 + ... + 314504490.

Almost surely, 2^{5340456576000} is an apocalyptic number.

5340456576000 is a gapful number since it is divisible by the number (50) 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 5340456576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12147287093760).

5340456576000 is an abundant number, since it is smaller than the sum of its proper divisors (18954117611520).

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

5340456576000 is a wasteful number, since it uses less digits than its factorization.

5340456576000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17045 (or 17011 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 5340456576000 in words is "five trillion, three hundred forty billion, four hundred fifty-six million, five hundred seventy-six thousand".