5407491139200 has 1536 divisors, whose sum is σ = 21877599744000. Its totient is φ = 1298285936640.

The previous prime is 5407491139187. The next prime is 5407491139217. The reversal of 5407491139200 is 29311947045.

5407491139200 is a `hidden beast` number, since 5 + 4 + 0 + 7 + 491 + 139 + 20 + 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7438089237 + ... + 7438089963.

It is an arithmetic number, because the mean of its divisors is an integer number (14243229000).

Almost surely, 2^{5407491139200} is an apocalyptic number.

5407491139200 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 5407491139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10938799872000).

5407491139200 is an abundant number, since it is smaller than the sum of its proper divisors (16470108604800).

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

5407491139200 is a wasteful number, since it uses less digits than its factorization.

5407491139200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 5407491139200 in words is "five trillion, four hundred seven billion, four hundred ninety-one million, one hundred thirty-nine thousand, two hundred".