49424947200 has 288 divisors, whose sum is σ = 181551661200. Its totient is φ = 13179617280.

The previous prime is 49424947151. The next prime is 49424947219. The reversal of 49424947200 is 274942494.

49424947200 is a `hidden beast` number, since 4 + 94 + 2 + 494 + 72 + 0 + 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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1364524 + ... + 1400276.

Almost surely, 2^49424947200 is an apocalyptic number.

49424947200 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 49424947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90775830600).

49424947200 is an abundant number, since it is smaller than the sum of its proper divisors (132126714000).

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

49424947200 is a wasteful number, since it uses less digits than its factorization.

49424947200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35794 (or 35763 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 49424947200 in words is "forty-nine billion, four hundred twenty-four million, nine hundred forty-seven thousand, two hundred".