340152314052000 has 384 divisors, whose sum is σ = 1150521345792000. Its totient is φ = 87763236864000.

The previous prime is 340152314051999. The next prime is 340152314052011. The reversal of 340152314052000 is 250413251043.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1863256726 + ... + 1863439274.

It is an arithmetic number, because the mean of its divisors is an integer number (2996149338000).

Almost surely, 2^{340152314052000} is an apocalyptic number.

340152314052000 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 340152314052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575260672896000).

340152314052000 is an abundant number, since it is smaller than the sum of its proper divisors (810369031740000).

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

340152314052000 is a wasteful number, since it uses less digits than its factorization.

340152314052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187617 (or 187599 counting only the distinct ones).

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

The spelling of 340152314052000 in words is "three hundred forty trillion, one hundred fifty-two billion, three hundred fourteen million, fifty-two thousand".