49049161574400 has 1728 divisors, whose sum is σ = 194328584049600. Its totient is φ = 11749010964480.

The previous prime is 49049161574389. The next prime is 49049161574429. The reversal of 49049161574400 is 447516194094.

It is a happy number.

49049161574400 is a `hidden beast` number, since 4 + 9 + 0 + 4 + 9 + 1 + 61 + 574 + 4 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37817394552 + ... + 37817395848.

It is an arithmetic number, because the mean of its divisors is an integer number (112458671325).

Almost surely, 2^{49049161574400} is an apocalyptic number.

49049161574400 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 49049161574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97164292024800).

49049161574400 is an abundant number, since it is smaller than the sum of its proper divisors (145279422475200).

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

49049161574400 is a wasteful number, since it uses less digits than its factorization.

49049161574400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 49049161574400 in words is "forty-nine trillion, forty-nine billion, one hundred sixty-one million, five hundred seventy-four thousand, four hundred".