49035254446080 has 2688 divisors, whose sum is σ = 209099553062400. Its totient is φ = 10799420276736.

The previous prime is 49035254445971. The next prime is 49035254446111. The reversal of 49035254446080 is 8064445253094.

49035254446080 is a `hidden beast` number, since 4 + 9 + 0 + 3 + 5 + 25 + 4 + 4 + 4 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 312326461362 + ... + 312326461518.

It is an arithmetic number, because the mean of its divisors is an integer number (77790012300).

Almost surely, 2^{49035254446080} is an apocalyptic number.

49035254446080 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 49035254446080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104549776531200).

49035254446080 is an abundant number, since it is smaller than the sum of its proper divisors (160064298616320).

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

49035254446080 is a wasteful number, since it uses less digits than its factorization.

49035254446080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 49035254446080 in words is "forty-nine trillion, thirty-five billion, two hundred fifty-four million, four hundred forty-six thousand, eighty".