44999979978240 has 1280 divisors, whose sum is σ = 184047605913600. Its totient is φ = 10208954548224.

The previous prime is 44999979978181. The next prime is 44999979978281. The reversal of 44999979978240 is 4287997999944.

It is a happy number.

44999979978240 is a `hidden beast` number, since 4 + 49 + 99 + 97 + 99 + 78 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 63469647006 + ... + 63469647714.

It is an arithmetic number, because the mean of its divisors is an integer number (143787192120).

Almost surely, 2^{44999979978240} is an apocalyptic number.

44999979978240 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 44999979978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92023802956800).

44999979978240 is an abundant number, since it is smaller than the sum of its proper divisors (139047625935360).

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

44999979978240 is a wasteful number, since it uses less digits than its factorization.

44999979978240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 26665583616, while the sum is 90.

The spelling of 44999979978240 in words is "forty-four trillion, nine hundred ninety-nine billion, nine hundred seventy-nine million, nine hundred seventy-eight thousand, two hundred forty".