1142386281260 has 288 divisors, whose sum is σ = 2906110690560. Its totient is φ = 375859008000.

The previous prime is 1142386281209. The next prime is 1142386281287. The reversal of 1142386281260 is 621826832411.

It is a super-2 number, since 2×1142386281260² (a number of 25 digits) contains 22 as substring.

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, 591602495 + ... + 591604425.

It is an arithmetic number, because the mean of its divisors is an integer number (10090662120).

Almost surely, 2^{1142386281260} is an apocalyptic number.

1142386281260 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 1142386281260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453055345280).

1142386281260 is an abundant number, since it is smaller than the sum of its proper divisors (1763724409300).

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

1142386281260 is a wasteful number, since it uses less digits than its factorization.

1142386281260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2237 (or 2228 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 44.

The spelling of 1142386281260 in words is "one trillion, one hundred forty-two billion, three hundred eighty-six million, two hundred eighty-one thousand, two hundred sixty".