45130440000 has 280 divisors, whose sum is σ = 151341905088. Its totient is φ = 11863040000.

The previous prime is 45130439993. The next prime is 45130440007. The reversal of 45130440000 is 4403154.

45130440000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45130439993) and next prime (45130440007).

It is a super-2 number, since 2×45130440000² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45130440007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8517352 + ... + 8522648.

Almost surely, 2^45130440000 is an apocalyptic number.

45130440000 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 45130440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75670952544).

45130440000 is an abundant number, since it is smaller than the sum of its proper divisors (106211465088).

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

45130440000 is an equidigital number, since it uses as much as digits as its factorization.

45130440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5403 (or 5378 counting only the distinct ones).

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

Adding to 45130440000 its reverse (4403154), we get a palindrome (45134843154).

The spelling of 45130440000 in words is "forty-five billion, one hundred thirty million, four hundred forty thousand".