44251988040 has 640 divisors, whose sum is σ = 177038991360. Its totient is φ = 9802653696.

The previous prime is 44251987993. The next prime is 44251988071. The reversal of 44251988040 is 4088915244.

44251988040 is a `hidden beast` number, since 442 + 5 + 1 + 98 + 80 + 40 = 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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 16467577 + ... + 16470263.

It is an arithmetic number, because the mean of its divisors is an integer number (276623424).

Almost surely, 2^44251988040 is an apocalyptic number.

44251988040 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 44251988040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88519495680).

44251988040 is an abundant number, since it is smaller than the sum of its proper divisors (132787003320).

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

44251988040 is a wasteful number, since it uses less digits than its factorization.

44251988040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2763 (or 2750 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 44251988040 in words is "forty-four billion, two hundred fifty-one million, nine hundred eighty-eight thousand, forty".