45571319040 has 288 divisors, whose sum is σ = 157406772096. Its totient is φ = 11169792000.

The previous prime is 45571319039. The next prime is 45571319111. The reversal of 45571319040 is 4091317554.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 45571319040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12528102 + ... + 12531738.

It is an arithmetic number, because the mean of its divisors is an integer number (546551292).

Almost surely, 2^45571319040 is an apocalyptic number.

45571319040 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 45571319040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78703386048).

45571319040 is an abundant number, since it is smaller than the sum of its proper divisors (111835453056).

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

45571319040 is a wasteful number, since it uses less digits than its factorization.

45571319040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3925 (or 3911 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The spelling of 45571319040 in words is "forty-five billion, five hundred seventy-one million, three hundred nineteen thousand, forty".