49416199200 has 288 divisors, whose sum is σ = 186494313600. Its totient is φ = 12604584960.

The previous prime is 49416199169. The next prime is 49416199243. The reversal of 49416199200 is 299161494.

49416199200 is a `hidden beast` number, since 4 + 9 + 4 + 1 + 619 + 9 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 447066 + ... + 546534.

It is an arithmetic number, because the mean of its divisors is an integer number (647549700).

Almost surely, 2^49416199200 is an apocalyptic number.

49416199200 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 49416199200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93247156800).

49416199200 is an abundant number, since it is smaller than the sum of its proper divisors (137078114400).

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

49416199200 is a wasteful number, since it uses less digits than its factorization.

49416199200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99521 (or 99502 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 49416199200 in words is "forty-nine billion, four hundred sixteen million, one hundred ninety-nine thousand, two hundred".