1142017007040 has 336 divisors, whose sum is σ = 4834539772608. Its totient is φ = 240952983552.

The previous prime is 1142017007003. The next prime is 1142017007057. The reversal of 1142017007040 is 407007102411.

1142017007040 is a `hidden beast` number, since 1 + 1 + 420 + 170 + 0 + 70 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 1142017006995 and 1142017007013.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1916677 + ... + 2440836.

It is an arithmetic number, because the mean of its divisors is an integer number (14388511228).

Almost surely, 2^{1142017007040} is an apocalyptic number.

1142017007040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1142017007040 is an abundant number, since it is smaller than the sum of its proper divisors (3692522765568).

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

1142017007040 is a wasteful number, since it uses less digits than its factorization.

1142017007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4357556 (or 4357543 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The spelling of 1142017007040 in words is "one trillion, one hundred forty-two billion, seventeen million, seven thousand, forty".