1140370420480 has 144 divisors (see below), whose sum is σ = 2749551517440. Its totient is φ = 453149945856.

The previous prime is 1140370420471. The next prime is 1140370420493. The reversal of 1140370420480 is 840240730411.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141498691 + ... + 141506749.

It is an arithmetic number, because the mean of its divisors is an integer number (19094107760).

Almost surely, 2^{1140370420480} is an apocalyptic number.

1140370420480 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 1140370420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374775758720).

1140370420480 is an abundant number, since it is smaller than the sum of its proper divisors (1609181096960).

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

1140370420480 is an equidigital number, since it uses as much as digits as its factorization.

1140370420480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8794 (or 8780 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The spelling of 1140370420480 in words is "one trillion, one hundred forty billion, three hundred seventy million, four hundred twenty thousand, four hundred eighty".