340000001400 has 96 divisors (see below), whose sum is σ = 1055504876400. Its totient is φ = 90537216000.

The previous prime is 340000001389. The next prime is 340000001417. The reversal of 340000001400 is 4100000043.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 16416 + ... + 824784.

Almost surely, 2^340000001400 is an apocalyptic number.

340000001400 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 340000001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527752438200).

340000001400 is an abundant number, since it is smaller than the sum of its proper divisors (715504875000).

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

340000001400 is a wasteful number, since it uses less digits than its factorization.

340000001400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809089 (or 809080 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 340000001400 its reverse (4100000043), we get a palindrome (344100001443).

The spelling of 340000001400 in words is "three hundred forty billion, one thousand, four hundred".