340514142000 has 160 divisors (see below), whose sum is σ = 1098793672704. Its totient is φ = 90723040000.

The previous prime is 340514141987. The next prime is 340514142011. The reversal of 340514142000 is 241415043.

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

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 31 ways as a sum of consecutive naturals, for example, 6881347 + ... + 6930653.

Almost surely, 2^340514142000 is an apocalyptic number.

340514142000 is a gapful number since it is divisible by the number (30) 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 340514142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549396836352).

340514142000 is an abundant number, since it is smaller than the sum of its proper divisors (758279530704).

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

340514142000 is a wasteful number, since it uses less digits than its factorization.

340514142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50484 (or 50468 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 340514142000 its reverse (241415043), we get a palindrome (340755557043).

The spelling of 340514142000 in words is "three hundred forty billion, five hundred fourteen million, one hundred forty-two thousand".