45760043961600 has 432 divisors, whose sum is σ = 164447600721600. Its totient is φ = 11161793986560.

The previous prime is 45760043961547. The next prime is 45760043961631. The reversal of 45760043961600 is 616934006754.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8416464 + ... + 12741936.

Almost surely, 2^{45760043961600} is an apocalyptic number.

45760043961600 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 45760043961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82223800360800).

45760043961600 is an abundant number, since it is smaller than the sum of its proper divisors (118687556760000).

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

45760043961600 is a wasteful number, since it uses less digits than its factorization.

45760043961600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4325550 (or 4325531 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 45760043961600 in words is "forty-five trillion, seven hundred sixty billion, forty-three million, nine hundred sixty-one thousand, six hundred".