5349994644400 has 720 divisors, whose sum is σ = 16056795156480. Its totient is φ = 1673165260800.

The previous prime is 5349994644383. The next prime is 5349994644409. The reversal of 5349994644400 is 44464999435.

It is not an unprimeable number, because it can be changed into a prime (5349994644409) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13753199406 + ... + 13753199794.

It is an arithmetic number, because the mean of its divisors is an integer number (22301104384).

Almost surely, 2^{5349994644400} is an apocalyptic number.

5349994644400 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 5349994644400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8028397578240).

5349994644400 is an abundant number, since it is smaller than the sum of its proper divisors (10706800512080).

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

5349994644400 is a wasteful number, since it uses less digits than its factorization.

5349994644400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 61.

The spelling of 5349994644400 in words is "five trillion, three hundred forty-nine billion, nine hundred ninety-four million, six hundred forty-four thousand, four hundred".