1140056362200 has 384 divisors, whose sum is σ = 4176741957120. Its totient is φ = 251848396800.

The previous prime is 1140056362171. The next prime is 1140056362219. The reversal of 1140056362200 is 22636500411.

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

It is a congruent number.

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, 14875980 + ... + 14952420.

It is an arithmetic number, because the mean of its divisors is an integer number (10876932180).

Almost surely, 2^{1140056362200} is an apocalyptic number.

1140056362200 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 1140056362200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2088370978560).

1140056362200 is an abundant number, since it is smaller than the sum of its proper divisors (3036685594920).

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

1140056362200 is a wasteful number, since it uses less digits than its factorization.

1140056362200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76587 (or 76578 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 1140056362200 in words is "one trillion, one hundred forty billion, fifty-six million, three hundred sixty-two thousand, two hundred".