45431140512000 has 576 divisors, whose sum is σ = 152976355983360. Its totient is φ = 11948571648000.

The previous prime is 45431140511983. The next prime is 45431140512071. The reversal of 45431140512000 is 21504113454.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8365149285 + ... + 8365154715.

It is an arithmetic number, because the mean of its divisors is an integer number (265583951360).

Almost surely, 2^{45431140512000} is an apocalyptic number.

45431140512000 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 45431140512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76488177991680).

45431140512000 is an abundant number, since it is smaller than the sum of its proper divisors (107545215471360).

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

45431140512000 is a wasteful number, since it uses less digits than its factorization.

45431140512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6647 (or 6623 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 45431140512000 its reverse (21504113454), we get a palindrome (45452644625454).

The spelling of 45431140512000 in words is "forty-five trillion, four hundred thirty-one billion, one hundred forty million, five hundred twelve thousand".