49343776358400 has 1836 divisors, whose sum is σ = 192127841678448. Its totient is φ = 12081986273280.

The previous prime is 49343776358369. The next prime is 49343776358447. The reversal of 49343776358400 is 485367734394.

It is a happy number.

49343776358400 is a `hidden beast` number, since 4 + 9 + 3 + 43 + 7 + 7 + 6 + 3 + 584 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 285224140714 + ... + 285224140886.

Almost surely, 2^{49343776358400} is an apocalyptic number.

49343776358400 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 49343776358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96063920839224).

49343776358400 is an abundant number, since it is smaller than the sum of its proper divisors (142784065320048).

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

49343776358400 is a wasteful number, since it uses less digits than its factorization.

49343776358400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 63.

The spelling of 49343776358400 in words is "forty-nine trillion, three hundred forty-three billion, seven hundred seventy-six million, three hundred fifty-eight thousand, four hundred".