45432075040 has 192 divisors, whose sum is σ = 120646568448. Its totient is φ = 16022016000.

The previous prime is 45432075037. The next prime is 45432075041. The reversal of 45432075040 is 4057023454.

45432075040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 45432074987 and 45432075005.

It is not an unprimeable number, because it can be changed into a prime (45432075041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23898090 + ... + 23899990.

It is an arithmetic number, because the mean of its divisors is an integer number (628367544).

Almost surely, 2^45432075040 is an apocalyptic number.

45432075040 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 45432075040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60323284224).

45432075040 is an abundant number, since it is smaller than the sum of its proper divisors (75214493408).

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

45432075040 is a wasteful number, since it uses less digits than its factorization.

45432075040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2331 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 34.

Adding to 45432075040 its reverse (4057023454), we get a palindrome (49489098494).

The spelling of 45432075040 in words is "forty-five billion, four hundred thirty-two million, seventy-five thousand, forty".