45740055042000 has 960 divisors, whose sum is σ = 183622923095040. Its totient is φ = 10495018368000.

The previous prime is 45740055041987. The next prime is 45740055042007. The reversal of 45740055042000 is 24055004754.

It is a happy number.

45740055042000 is a `hidden beast` number, since 45 + 7 + 40 + 0 + 550 + 4 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45740055042007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4465488879 + ... + 4465499121.

It is an arithmetic number, because the mean of its divisors is an integer number (191273878224).

Almost surely, 2^{45740055042000} is an apocalyptic number.

45740055042000 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 45740055042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91811461547520).

45740055042000 is an abundant number, since it is smaller than the sum of its proper divisors (137882868053040).

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

45740055042000 is a wasteful number, since it uses less digits than its factorization.

45740055042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11489 (or 11470 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 36.

The spelling of 45740055042000 in words is "forty-five trillion, seven hundred forty billion, fifty-five million, forty-two thousand".