49945190400 has 1008 divisors, whose sum is σ = 211275168000. Its totient is φ = 11271536640.

The previous prime is 49945190359. The next prime is 49945190417. The reversal of 49945190400 is 409154994.

49945190400 is a `hidden beast` number, since 4 + 9 + 94 + 519 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 71 ways as a sum of consecutive naturals, for example, 632217561 + ... + 632217639.

Almost surely, 2^49945190400 is an apocalyptic number.

49945190400 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 49945190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105637584000).

49945190400 is an abundant number, since it is smaller than the sum of its proper divisors (161329977600).

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

49945190400 is an equidigital number, since it uses as much as digits as its factorization.

49945190400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 49945190400 in words is "forty-nine billion, nine hundred forty-five million, one hundred ninety thousand, four hundred".