49432031256960 has 1024 divisors, whose sum is σ = 192886634880000. Its totient is φ = 11864884838400.

The previous prime is 49432031256947. The next prime is 49432031257097. The reversal of 49432031256960 is 6965213023494.

49432031256960 is a `hidden beast` number, since 4 + 9 + 4 + 3 + 2 + 0 + 3 + 12 + 569 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 49432031256897 and 49432031256906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9374552884 + ... + 9374558156.

It is an arithmetic number, because the mean of its divisors is an integer number (188365854375).

Almost surely, 2^{49432031256960} is an apocalyptic number.

49432031256960 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 49432031256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96443317440000).

49432031256960 is an abundant number, since it is smaller than the sum of its proper divisors (143454603623040).

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

49432031256960 is a wasteful number, since it uses less digits than its factorization.

49432031256960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5792 (or 5774 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 49432031256960 in words is "forty-nine trillion, four hundred thirty-two billion, thirty-one million, two hundred fifty-six thousand, nine hundred sixty".