1074112314000 has 160 divisors (see below), whose sum is σ = 3777750887040. Its totient is φ = 260390848000.

The previous prime is 1074112313903. The next prime is 1074112314019. The reversal of 1074112314000 is 4132114701.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8071215 + ... + 8203214.

It is an arithmetic number, because the mean of its divisors is an integer number (23610943044).

Almost surely, 2^{1074112314000} is an apocalyptic number.

1074112314000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1074112314000 is an abundant number, since it is smaller than the sum of its proper divisors (2703638573040).

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

1074112314000 is a wasteful number, since it uses less digits than its factorization.

1074112314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16274466 (or 16274450 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

Adding to 1074112314000 its reverse (4132114701), we get a palindrome (1078244428701).

The spelling of 1074112314000 in words is "one trillion, seventy-four billion, one hundred twelve million, three hundred fourteen thousand".