340115417400 has 192 divisors, whose sum is σ = 1156051543680. Its totient is φ = 82033369600.

The previous prime is 340115417399. The next prime is 340115417401. The reversal of 340115417400 is 4714511043.

It is an interprime number because it is at equal distance from previous prime (340115417399) and next prime (340115417401).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340115417401) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1169407 + ... + 1430993.

It is an arithmetic number, because the mean of its divisors is an integer number (6021101790).

Almost surely, 2^340115417400 is an apocalyptic number.

340115417400 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 340115417400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578025771840).

340115417400 is an abundant number, since it is smaller than the sum of its proper divisors (815936126280).

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

340115417400 is a wasteful number, since it uses less digits than its factorization.

340115417400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261814 (or 261805 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

Adding to 340115417400 its reverse (4714511043), we get a palindrome (344829928443).

The spelling of 340115417400 in words is "three hundred forty billion, one hundred fifteen million, four hundred seventeen thousand, four hundred".