340129278720 has 864 divisors, whose sum is σ = 1473151680000. Its totient is φ = 70389596160.

The previous prime is 340129278703. The next prime is 340129278737. The reversal of 340129278720 is 27872921043.

340129278720 is a `hidden beast` number, since 340 + 12 + 9 + 278 + 7 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (340129278703) and next prime (340129278737).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 272320656 + ... + 272321904.

Almost surely, 2^340129278720 is an apocalyptic number.

340129278720 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 340129278720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736575840000).

340129278720 is an abundant number, since it is smaller than the sum of its proper divisors (1133022401280).

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

340129278720 is a wasteful number, since it uses less digits than its factorization.

340129278720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 340129278720 in words is "three hundred forty billion, one hundred twenty-nine million, two hundred seventy-eight thousand, seven hundred twenty".