340401413220 has 384 divisors, whose sum is σ = 1083762892800. Its totient is φ = 79779927040.

The previous prime is 340401413203. The next prime is 340401413227. The reversal of 340401413220 is 22314104043.

It is not an unprimeable number, because it can be changed into a prime (340401413227) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 334053871 + ... + 334054889.

It is an arithmetic number, because the mean of its divisors is an integer number (2822299200).

Almost surely, 2^340401413220 is an apocalyptic number.

340401413220 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 340401413220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541881446400).

340401413220 is an abundant number, since it is smaller than the sum of its proper divisors (743361479580).

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

340401413220 is a wasteful number, since it uses less digits than its factorization.

340401413220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 340401413220 its reverse (22314104043), we get a palindrome (362715517263).

The spelling of 340401413220 in words is "three hundred forty billion, four hundred one million, four hundred thirteen thousand, two hundred twenty".