49274014310400 has 1344 divisors, whose sum is σ = 184563746021376. Its totient is φ = 11494883328000.

The previous prime is 49274014310387. The next prime is 49274014310401. The reversal of 49274014310400 is 401341047294.

It is not an unprimeable number, because it can be changed into a prime (49274014310401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19376331529 + ... + 19376334071.

Almost surely, 2^{49274014310400} is an apocalyptic number.

49274014310400 is a gapful number since it is divisible by the number (40) 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 49274014310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92281873010688).

49274014310400 is an abundant number, since it is smaller than the sum of its proper divisors (135289731710976).

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

49274014310400 is a wasteful number, since it uses less digits than its factorization.

49274014310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2701 (or 2672 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

Adding to 49274014310400 its reverse (401341047294), we get a palindrome (49675355357694).

The spelling of 49274014310400 in words is "forty-nine trillion, two hundred seventy-four billion, fourteen million, three hundred ten thousand, four hundred".