49408819200 has 540 divisors, whose sum is σ = 190787299248. Its totient is φ = 12150374400.

The previous prime is 49408819199. The next prime is 49408819253. The reversal of 49408819200 is 291880494.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47922685 + ... + 47923715.

Almost surely, 2^49408819200 is an apocalyptic number.

49408819200 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 49408819200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95393649624).

49408819200 is an abundant number, since it is smaller than the sum of its proper divisors (141378480048).

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

49408819200 is a wasteful number, since it uses less digits than its factorization.

49408819200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 49408819200 in words is "forty-nine billion, four hundred eight million, eight hundred nineteen thousand, two hundred".