45102032040 has 256 divisors, whose sum is σ = 153770400000. Its totient is φ = 10491199488.

The previous prime is 45102032011. The next prime is 45102032047. The reversal of 45102032040 is 4023020154.

It is a junction number, because it is equal to n+sod(n) for n = 45102031998 and 45102032016.

It is not an unprimeable number, because it can be changed into a prime (45102032047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13306666 + ... + 13310054.

It is an arithmetic number, because the mean of its divisors is an integer number (600665625).

Almost surely, 2^45102032040 is an apocalyptic number.

45102032040 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 45102032040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76885200000).

45102032040 is an abundant number, since it is smaller than the sum of its proper divisors (108668367960).

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

45102032040 is a wasteful number, since it uses less digits than its factorization.

45102032040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3884 (or 3880 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 45102032040 its reverse (4023020154), we get a palindrome (49125052194).

The spelling of 45102032040 in words is "forty-five billion, one hundred two million, thirty-two thousand, forty".