1334255142000 has 960 divisors, whose sum is σ = 4939683840000. Its totient is φ = 309222144000.

The previous prime is 1334255141987. The next prime is 1334255142023. The reversal of 1334255142000 is 2415524331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2673857751 + ... + 2673858249.

It is an arithmetic number, because the mean of its divisors is an integer number (5145504000).

Almost surely, 2^{1334255142000} is an apocalyptic number.

1334255142000 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 1334255142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469841920000).

1334255142000 is an abundant number, since it is smaller than the sum of its proper divisors (3605428698000).

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

1334255142000 is a wasteful number, since it uses less digits than its factorization.

1334255142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 1334255142000 in words is "one trillion, three hundred thirty-four billion, two hundred fifty-five million, one hundred forty-two thousand".