45041401688800 has 144 divisors (see below), whose sum is σ = 119963631992400. Its totient is φ = 16377300172800.

The previous prime is 45041401688783. The next prime is 45041401688819. The reversal of 45041401688800 is 888610414054.

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, 106347856 + ... + 106770544.

It is an arithmetic number, because the mean of its divisors is an integer number (833080777725).

Almost surely, 2^{45041401688800} is an apocalyptic number.

45041401688800 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 45041401688800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59981815996200).

45041401688800 is an abundant number, since it is smaller than the sum of its proper divisors (74922230303600).

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

45041401688800 is a wasteful number, since it uses less digits than its factorization.

45041401688800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434829 (or 434816 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 49.

The spelling of 45041401688800 in words is "forty-five trillion, forty-one billion, four hundred one million, six hundred eighty-eight thousand, eight hundred".