49209217200 has 1800 divisors, whose sum is σ = 224710706880. Its totient is φ = 10189670400.

The previous prime is 49209217171. The next prime is 49209217201. The reversal of 49209217200 is 271290294.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (49209217201) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 1144400379 + ... + 1144400421.

Almost surely, 2^49209217200 is an apocalyptic number.

49209217200 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 49209217200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112355353440).

49209217200 is an abundant number, since it is smaller than the sum of its proper divisors (175501489680).

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

49209217200 is a wasteful number, since it uses less digits than its factorization.

49209217200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 49209217200 in words is "forty-nine billion, two hundred nine million, two hundred seventeen thousand, two hundred".