1014210142000 has 240 divisors, whose sum is σ = 2701713766752. Its totient is φ = 367963200000.

The previous prime is 1014210141947. The next prime is 1014210142019. The reversal of 1014210142000 is 2410124101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 47 ways as a sum of consecutive naturals, for example, 111557455 + ... + 111566545.

Almost surely, 2^{1014210142000} is an apocalyptic number.

1014210142000 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 1014210142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350856883376).

1014210142000 is an abundant number, since it is smaller than the sum of its proper divisors (1687503624752).

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

1014210142000 is a wasteful number, since it uses less digits than its factorization.

1014210142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9597 (or 9570 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1014210142000 its reverse (2410124101), we get a palindrome (1016620266101).

The spelling of 1014210142000 in words is "one trillion, fourteen billion, two hundred ten million, one hundred forty-two thousand".