45314404325040 has 160 divisors (see below), whose sum is σ = 141427253880000. Its totient is φ = 12001908305920.

The previous prime is 45314404325023. The next prime is 45314404325101. The reversal of 45314404325040 is 4052340441354.

It is a self number, because there is not a number n which added to its sum of digits gives 45314404325040.

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, 648973330 + ... + 649043150.

It is an arithmetic number, because the mean of its divisors is an integer number (883920336750).

Almost surely, 2^{45314404325040} is an apocalyptic number.

45314404325040 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 45314404325040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70713626940000).

45314404325040 is an abundant number, since it is smaller than the sum of its proper divisors (96112849554960).

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

45314404325040 is a wasteful number, since it uses less digits than its factorization.

45314404325040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88135 (or 88129 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 39.

Adding to 45314404325040 its reverse (4052340441354), we get a palindrome (49366744766394).

The spelling of 45314404325040 in words is "forty-five trillion, three hundred fourteen billion, four hundred four million, three hundred twenty-five thousand, forty".