45918158040 has 960 divisors, whose sum is σ = 180534420000. Its totient is φ = 10423074816.

The previous prime is 45918158003. The next prime is 45918158047. The reversal of 45918158040 is 4085181954.

It is a happy number.

45918158040 is a `hidden beast` number, since 4 + 59 + 18 + 1 + 580 + 4 + 0 = 666.

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 (45918158047) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 515934316 + ... + 515934404.

Almost surely, 2^45918158040 is an apocalyptic number.

45918158040 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 45918158040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90267210000).

45918158040 is an abundant number, since it is smaller than the sum of its proper divisors (134616261960).

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

45918158040 is a wasteful number, since it uses less digits than its factorization.

45918158040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 45918158040 in words is "forty-five billion, nine hundred eighteen million, one hundred fifty-eight thousand, forty".