340230223100400 has 480 divisors, whose sum is σ = 1129849189565376. Its totient is φ = 87456153600000.

The previous prime is 340230223100399. The next prime is 340230223100477. The reversal of 340230223100400 is 4001322032043.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 2868153090 + ... + 2868271710.

Almost surely, 2^{340230223100400} is an apocalyptic number.

340230223100400 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 340230223100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564924594782688).

340230223100400 is an abundant number, since it is smaller than the sum of its proper divisors (789618966464976).

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

340230223100400 is a wasteful number, since it uses less digits than its factorization.

340230223100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119381 (or 119370 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 340230223100400 its reverse (4001322032043), we get a palindrome (344231545132443).

The spelling of 340230223100400 in words is "three hundred forty trillion, two hundred thirty billion, two hundred twenty-three million, one hundred thousand, four hundred".