44971655040 has 384 divisors, whose sum is σ = 168590822400. Its totient is φ = 10980458496.

The previous prime is 44971655039. The next prime is 44971655129. The reversal of 44971655040 is 4055617944.

44971655040 is a `hidden beast` number, since 4 + 4 + 97 + 1 + 6 + 550 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 9507396 + ... + 9512124.

It is an arithmetic number, because the mean of its divisors is an integer number (439038600).

Almost surely, 2^44971655040 is an apocalyptic number.

44971655040 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 44971655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84295411200).

44971655040 is an abundant number, since it is smaller than the sum of its proper divisors (123619167360).

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

44971655040 is a wasteful number, since it uses less digits than its factorization.

44971655040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4894 (or 4879 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 44971655040 in words is "forty-four billion, nine hundred seventy-one million, six hundred fifty-five thousand, forty".