214433432401100 has 576 divisors, whose sum is σ = 532188945477504. Its totient is φ = 74317824000000.

The previous prime is 214433432401043. The next prime is 214433432401127. The reversal of 214433432401100 is 1104234334412.

It is a super-2 number, since 2×214433432401100² (a number of 29 digits) contains 22 as substring.

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, 132284658290 + ... + 132284659910.

It is an arithmetic number, because the mean of its divisors is an integer number (923939141454).

Almost surely, 2^{214433432401100} is an apocalyptic number.

214433432401100 is a gapful number since it is divisible by the number (20) 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 214433432401100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266094472738752).

214433432401100 is an abundant number, since it is smaller than the sum of its proper divisors (317755513076404).

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

214433432401100 is a wasteful number, since it uses less digits than its factorization.

214433432401100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158 (or 2151 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 214433432401100 its reverse (1104234334412), we get a palindrome (215537666735512).

The spelling of 214433432401100 in words is "two hundred fourteen trillion, four hundred thirty-three billion, four hundred thirty-two million, four hundred one thousand, one hundred".