49152441600 has 216 divisors, whose sum is σ = 180237630720. Its totient is φ = 13107271680.

The previous prime is 49152441593. The next prime is 49152441643. The reversal of 49152441600 is 614425194.

49152441600 is a `hidden beast` number, since 4 + 9 + 1 + 5 + 2 + 4 + 41 + 600 = 666.

49152441600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30577 + ... + 315023.

Almost surely, 2^49152441600 is an apocalyptic number.

49152441600 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 49152441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90118815360).

49152441600 is an abundant number, since it is smaller than the sum of its proper divisors (131085189120).

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

49152441600 is a wasteful number, since it uses less digits than its factorization.

49152441600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284482 (or 284457 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 49152441600 its reverse (614425194), we get a palindrome (49766866794).

The spelling of 49152441600 in words is "forty-nine billion, one hundred fifty-two million, four hundred forty-one thousand, six hundred".