44346536640 has 1008 divisors, whose sum is σ = 189771832800. Its totient is φ = 9719377920.

The previous prime is 44346536627. The next prime is 44346536657. The reversal of 44346536640 is 4663564344.

44346536640 is a `hidden beast` number, since 44 + 34 + 6 + 536 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 143 ways as a sum of consecutive naturals, for example, 406848906 + ... + 406849014.

Almost surely, 2^44346536640 is an apocalyptic number.

44346536640 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 44346536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94885916400).

44346536640 is an abundant number, since it is smaller than the sum of its proper divisors (145425296160).

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

44346536640 is a wasteful number, since it uses less digits than its factorization.

44346536640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 45.

The spelling of 44346536640 in words is "forty-four billion, three hundred forty-six million, five hundred thirty-six thousand, six hundred forty".