45040414056320 has 256 divisors, whose sum is σ = 119360909102400. Its totient is φ = 16174429372416.

The previous prime is 45040414056311. The next prime is 45040414056343. The reversal of 45040414056320 is 2365041404054.

45040414056320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45040414056320² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25328222 + ... + 27048098.

Almost surely, 2^{45040414056320} is an apocalyptic number.

45040414056320 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 45040414056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59680454551200).

45040414056320 is an abundant number, since it is smaller than the sum of its proper divisors (74320495046080).

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

45040414056320 is a wasteful number, since it uses less digits than its factorization.

45040414056320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720025 (or 1720013 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

The spelling of 45040414056320 in words is "forty-five trillion, forty billion, four hundred fourteen million, fifty-six thousand, three hundred twenty".