49621480934400 has 2112 divisors, whose sum is σ = 203692705689600. Its totient is φ = 11772981411840.

The previous prime is 49621480934393. The next prime is 49621480934449. The reversal of 49621480934400 is 443908412694.

49621480934400 is a `hidden beast` number, since 4 + 9 + 6 + 2 + 148 + 0 + 93 + 4 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24053067769 + ... + 24053069831.

Almost surely, 2^{49621480934400} is an apocalyptic number.

49621480934400 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 49621480934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101846352844800).

49621480934400 is an abundant number, since it is smaller than the sum of its proper divisors (154071224755200).

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

49621480934400 is a wasteful number, since it uses less digits than its factorization.

49621480934400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2231 (or 2202 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 49621480934400 in words is "forty-nine trillion, six hundred twenty-one billion, four hundred eighty million, nine hundred thirty-four thousand, four hundred".