49745404800 has 2304 divisors, whose sum is σ = 244925990400. Its totient is φ = 9674588160.

The previous prime is 49745404783. The next prime is 49745404853. The reversal of 49745404800 is 840454794.

49745404800 is a `hidden beast` number, since 4 + 97 + 45 + 40 + 480 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 1344470382 + ... + 1344470418.

Almost surely, 2^49745404800 is an apocalyptic number.

49745404800 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 49745404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122462995200).

49745404800 is an abundant number, since it is smaller than the sum of its proper divisors (195180585600).

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

49745404800 is a wasteful number, since it uses less digits than its factorization.

49745404800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 49745404800 in words is "forty-nine billion, seven hundred forty-five million, four hundred four thousand, eight hundred".