45035441400000 has 672 divisors, whose sum is σ = 152826320614464. Its totient is φ = 11696742400000.

The previous prime is 45035441399947. The next prime is 45035441400023. The reversal of 45035441400000 is 414453054.

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 95 ways as a sum of consecutive naturals, for example, 19606198852 + ... + 19606201148.

It is an arithmetic number, because the mean of its divisors is an integer number (227420119962).

Almost surely, 2^{45035441400000} is an apocalyptic number.

45035441400000 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 45035441400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76413160307232).

45035441400000 is an abundant number, since it is smaller than the sum of its proper divisors (107790879214464).

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

45035441400000 is an equidigital number, since it uses as much as digits as its factorization.

45035441400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3175 (or 3145 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 45035441400000 its reverse (414453054), we get a palindrome (45035855853054).

The spelling of 45035441400000 in words is "forty-five trillion, thirty-five billion, four hundred forty-one million, four hundred thousand".