44975161440 has 768 divisors, whose sum is σ = 182818944000. Its totient is φ = 10212065280.

The previous prime is 44975161391. The next prime is 44975161453. The reversal of 44975161440 is 4416157944.

44975161440 is a `hidden beast` number, since 4 + 4 + 97 + 516 + 1 + 4 + 40 = 666.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 98413692 + ... + 98414148.

It is an arithmetic number, because the mean of its divisors is an integer number (238045500).

Almost surely, 2^44975161440 is an apocalyptic number.

44975161440 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 44975161440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91409472000).

44975161440 is an abundant number, since it is smaller than the sum of its proper divisors (137843782560).

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

44975161440 is a wasteful number, since it uses less digits than its factorization.

44975161440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 44975161440 in words is "forty-four billion, nine hundred seventy-five million, one hundred sixty-one thousand, four hundred forty".