44251051680 has 1440 divisors, whose sum is σ = 196205042880. Its totient is φ = 9256550400.

The previous prime is 44251051633. The next prime is 44251051681. The reversal of 44251051680 is 8615015244.

It is a happy number.

44251051680 is a `hidden beast` number, since 44 + 25 + 1 + 0 + 516 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (44251051681) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1427453265 + ... + 1427453295.

It is an arithmetic number, because the mean of its divisors is an integer number (136253502).

Almost surely, 2^44251051680 is an apocalyptic number.

44251051680 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 44251051680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98102521440).

44251051680 is an abundant number, since it is smaller than the sum of its proper divisors (151953991200).

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

44251051680 is a wasteful number, since it uses less digits than its factorization.

44251051680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 44251051680 in words is "forty-four billion, two hundred fifty-one million, fifty-one thousand, six hundred eighty".