340129670400 has 1296 divisors, whose sum is σ = 1423941153600. Its totient is φ = 79188295680.

The previous prime is 340129670383. The next prime is 340129670411. The reversal of 340129670400 is 4076921043.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 554860494 + ... + 554861106.

Almost surely, 2^340129670400 is an apocalyptic number.

340129670400 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 340129670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711970576800).

340129670400 is an abundant number, since it is smaller than the sum of its proper divisors (1083811483200).

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

340129670400 is a wasteful number, since it uses less digits than its factorization.

340129670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 340129670400 in words is "three hundred forty billion, one hundred twenty-nine million, six hundred seventy thousand, four hundred".