45059979191040 has 2592 divisors, whose sum is σ = 189069107834880. Its totient is φ = 9861046272000.

The previous prime is 45059979191033. The next prime is 45059979191077. The reversal of 45059979191040 is 4019197995054.

45059979191040 is a `hidden beast` number, since 4 + 505 + 9 + 9 + 7 + 9 + 19 + 104 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 58292340094 + ... + 58292340866.

It is an arithmetic number, because the mean of its divisors is an integer number (72943328640).

Almost surely, 2^{45059979191040} is an apocalyptic number.

45059979191040 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 45059979191040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94534553917440).

45059979191040 is an abundant number, since it is smaller than the sum of its proper divisors (144009128643840).

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

45059979191040 is a wasteful number, since it uses less digits than its factorization.

45059979191040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 18370800, while the sum is 63.

The spelling of 45059979191040 in words is "forty-five trillion, fifty-nine billion, nine hundred seventy-nine million, one hundred ninety-one thousand, forty".