1142827170408 has 384 divisors, whose sum is σ = 3981372595200. Its totient is φ = 289927693440.

The previous prime is 1142827170371. The next prime is 1142827170421. The reversal of 1142827170408 is 8040717282411.

1142827170408 is a `hidden beast` number, since 11 + 42 + 8 + 27 + 170 + 408 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28825623 + ... + 28865241.

It is an arithmetic number, because the mean of its divisors is an integer number (10368157800).

Almost surely, 2^{1142827170408} is an apocalyptic number.

1142827170408 is a gapful number since it is divisible by the number (18) 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 1142827170408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990686297600).

1142827170408 is an abundant number, since it is smaller than the sum of its proper divisors (2838545424792).

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

1142827170408 is a wasteful number, since it uses less digits than its factorization.

1142827170408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39714 (or 39685 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The spelling of 1142827170408 in words is "one trillion, one hundred forty-two billion, eight hundred twenty-seven million, one hundred seventy thousand, four hundred eight".