44641993979520 has 768 divisors, whose sum is σ = 181953195540480. Its totient is φ = 9869642588160.

The previous prime is 44641993979509. The next prime is 44641993979521. The reversal of 44641993979520 is 2597939914644.

It is a happy number.

44641993979520 is a `hidden beast` number, since 4 + 4 + 6 + 4 + 1 + 9 + 9 + 3 + 97 + 9 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (44641993979521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2758565349 + ... + 2758581531.

It is an arithmetic number, because the mean of its divisors is an integer number (236918223360).

Almost surely, 2^{44641993979520} is an apocalyptic number.

44641993979520 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 44641993979520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90976597770240).

44641993979520 is an abundant number, since it is smaller than the sum of its proper divisors (137311201560960).

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

44641993979520 is a wasteful number, since it uses less digits than its factorization.

44641993979520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18453 (or 18438 counting only the distinct ones).

The product of its (nonzero) digits is 529079040, while the sum is 72.

The spelling of 44641993979520 in words is "forty-four trillion, six hundred forty-one billion, nine hundred ninety-three million, nine hundred seventy-nine thousand, five hundred twenty".