49209401800 has 96 divisors (see below), whose sum is σ = 124433363880. Its totient is φ = 17989632000.

The previous prime is 49209401783. The next prime is 49209401809. The reversal of 49209401800 is 810490294.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 12450542724 + 36758859076 = 111582^2 + 191726^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 49209401800.

It is not an unprimeable number, because it can be changed into a prime (49209401809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168904 + ... + 356296.

Almost surely, 2^49209401800 is an apocalyptic number.

49209401800 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 49209401800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62216681940).

49209401800 is an abundant number, since it is smaller than the sum of its proper divisors (75223962080).

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

49209401800 is a wasteful number, since it uses less digits than its factorization.

49209401800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187523 (or 187514 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The spelling of 49209401800 in words is "forty-nine billion, two hundred nine million, four hundred one thousand, eight hundred".