45588407040 has 720 divisors, whose sum is σ = 180779993856. Its totient is φ = 10876723200.

The previous prime is 45588407027. The next prime is 45588407041. The reversal of 45588407040 is 4070488554.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45588407041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 80973799 + ... + 80974361.

Almost surely, 2^45588407040 is an apocalyptic number.

45588407040 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 45588407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90389996928).

45588407040 is an abundant number, since it is smaller than the sum of its proper divisors (135191586816).

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

45588407040 is a wasteful number, since it uses less digits than its factorization.

45588407040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

It can be divided in two parts, 455884070 and 40, that added together give a triangular number (455884110 = T₃₀₁₉₅).

The spelling of 45588407040 in words is "forty-five billion, five hundred eighty-eight million, four hundred seven thousand, forty".