49849773926400 has 2304 divisors, whose sum is σ = 222378391872000. Its totient is φ = 10701766656000.

The previous prime is 49849773926389. The next prime is 49849773926489. The reversal of 49849773926400 is 462937794894.

49849773926400 is a `hidden beast` number, since 4 + 9 + 8 + 497 + 7 + 3 + 92 + 6 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10383204000 + ... + 10383208800.

It is an arithmetic number, because the mean of its divisors is an integer number (96518399250).

Almost surely, 2^{49849773926400} is an apocalyptic number.

49849773926400 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 49849773926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111189195936000).

49849773926400 is an abundant number, since it is smaller than the sum of its proper divisors (172528617945600).

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

49849773926400 is a wasteful number, since it uses less digits than its factorization.

49849773926400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4915 (or 4884 counting only the distinct ones).

The product of its (nonzero) digits is 658409472, while the sum is 72.

The spelling of 49849773926400 in words is "forty-nine trillion, eight hundred forty-nine billion, seven hundred seventy-three million, nine hundred twenty-six thousand, four hundred".