45431440000 has 160 divisors (see below), whose sum is σ = 118020846240. Its totient is φ = 17381760000.

The previous prime is 45431439997. The next prime is 45431440007. The reversal of 45431440000 is 4413454.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (45431440007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1827655 + ... + 1852345.

It is an arithmetic number, because the mean of its divisors is an integer number (737630289).

Almost surely, 2^45431440000 is an apocalyptic number.

45431440000 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 45431440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59010423120).

45431440000 is an abundant number, since it is smaller than the sum of its proper divisors (72589406240).

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

45431440000 is an equidigital number, since it uses as much as digits as its factorization.

45431440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24748 (or 24721 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 45431440000 its reverse (4413454), we get a palindrome (45435853454).

The spelling of 45431440000 in words is "forty-five billion, four hundred thirty-one million, four hundred forty thousand".