49794290739200 has 1152 divisors, whose sum is σ = 151376611276800. Its totient is φ = 15882780672000.

The previous prime is 49794290738977. The next prime is 49794290739269. The reversal of 49794290739200 is 293709249794.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36586546520 + ... + 36586547880.

It is an arithmetic number, because the mean of its divisors is an integer number (131403308400).

Almost surely, 2^{49794290739200} is an apocalyptic number.

49794290739200 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 49794290739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75688305638400).

49794290739200 is an abundant number, since it is smaller than the sum of its proper divisors (101582320537600).

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

49794290739200 is a wasteful number, since it uses less digits than its factorization.

49794290739200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 61725888, while the sum is 65.

The spelling of 49794290739200 in words is "forty-nine trillion, seven hundred ninety-four billion, two hundred ninety million, seven hundred thirty-nine thousand, two hundred".