1140120423600 has 480 divisors, whose sum is σ = 3886582909440. Its totient is φ = 285101752320.

The previous prime is 1140120423599. The next prime is 1140120423667. The reversal of 1140120423600 is 63240210411.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 95 ways as a sum of consecutive naturals, for example, 291812847 + ... + 291816753.

It is an arithmetic number, because the mean of its divisors is an integer number (8097047728).

Almost surely, 2^{1140120423600} is an apocalyptic number.

1140120423600 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 1140120423600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1943291454720).

1140120423600 is an abundant number, since it is smaller than the sum of its proper divisors (2746462485840).

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

1140120423600 is a wasteful number, since it uses less digits than its factorization.

1140120423600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4157 (or 4146 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 1140120423600 in words is "one trillion, one hundred forty billion, one hundred twenty million, four hundred twenty-three thousand, six hundred".