1140201887880 has 512 divisors, whose sum is σ = 3877590528000. Its totient is φ = 265794048000.

The previous prime is 1140201887873. The next prime is 1140201887933. The reversal of 1140201887880 is 887881020411.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2573818939 + ... + 2573819381.

It is an arithmetic number, because the mean of its divisors is an integer number (7573419000).

Almost surely, 2^{1140201887880} is an apocalyptic number.

1140201887880 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 1140201887880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938795264000).

1140201887880 is an abundant number, since it is smaller than the sum of its proper divisors (2737388640120).

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

1140201887880 is a wasteful number, since it uses less digits than its factorization.

1140201887880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 48.

The spelling of 1140201887880 in words is "one trillion, one hundred forty billion, two hundred one million, eight hundred eighty-seven thousand, eight hundred eighty".