4114322422400 has 192 divisors, whose sum is σ = 10449389306400. Its totient is φ = 1599826636800.

The previous prime is 4114322422393. The next prime is 4114322422451. The reversal of 4114322422400 is 42242234114.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28962746 + ... + 29104454.

Almost surely, 2^{4114322422400} is an apocalyptic number.

4114322422400 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 4114322422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5224694653200).

4114322422400 is an abundant number, since it is smaller than the sum of its proper divisors (6335066884000).

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

4114322422400 is a wasteful number, since it uses less digits than its factorization.

4114322422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141987 (or 141970 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 4114322422400 its reverse (42242234114), we get a palindrome (4156564656514).

The spelling of 4114322422400 in words is "four trillion, one hundred fourteen billion, three hundred twenty-two million, four hundred twenty-two thousand, four hundred".