4340120400 has 960 divisors, whose sum is σ = 20458690560. Its totient is φ = 846028800.

The previous prime is 4340120399. The next prime is 4340120459. The reversal of 4340120400 is 40210434.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14137047 + ... + 14137353.

It is an arithmetic number, because the mean of its divisors is an integer number (21311136).

Almost surely, 2^4340120400 is an apocalyptic number.

4340120400 is a gapful number since it is divisible by the number (40) 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 4340120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10229345280).

4340120400 is an abundant number, since it is smaller than the sum of its proper divisors (16118570160).

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

4340120400 is a wasteful number, since it uses less digits than its factorization.

4340120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4340120400 is about 65879.5901626596. The cubic root of 4340120400 is about 1631.1751346273.

Adding to 4340120400 its reverse (40210434), we get a palindrome (4380330834).

The spelling of 4340120400 in words is "four billion, three hundred forty million, one hundred twenty thousand, four hundred".