44790201815040 has 1664 divisors, whose sum is σ = 185519937945600. Its totient is φ = 10144382976000.

The previous prime is 44790201815033. The next prime is 44790201815101. The reversal of 44790201815040 is 4051810209744.

44790201815040 is a `hidden beast` number, since 4 + 47 + 9 + 0 + 20 + 1 + 81 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5468217345 + ... + 5468225535.

Almost surely, 2^{44790201815040} is an apocalyptic number.

44790201815040 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 44790201815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92759968972800).

44790201815040 is an abundant number, since it is smaller than the sum of its proper divisors (140729736130560).

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

44790201815040 is a wasteful number, since it uses less digits than its factorization.

44790201815040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8300 (or 8272 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 44790201815040 in words is "forty-four trillion, seven hundred ninety billion, two hundred one million, eight hundred fifteen thousand, forty".