1451813509120 has 144 divisors (see below), whose sum is σ = 3772080355680. Its totient is φ = 536053579776.

The previous prime is 1451813509087. The next prime is 1451813509147. The reversal of 1451813509120 is 219053181541.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1311097 + ... + 2150023.

It is an arithmetic number, because the mean of its divisors is an integer number (26195002470).

Almost surely, 2^{1451813509120} is an apocalyptic number.

1451813509120 is a gapful number since it is divisible by the number (10) 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 1451813509120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886040177840).

1451813509120 is an abundant number, since it is smaller than the sum of its proper divisors (2320266846560).

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

1451813509120 is an equidigital number, since it uses as much as digits as its factorization.

1451813509120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838980 (or 838947 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 40.

The spelling of 1451813509120 in words is "one trillion, four hundred fifty-one billion, eight hundred thirteen million, five hundred nine thousand, one hundred twenty".