32400201014214 has 128 divisors (see below), whose sum is σ = 72569962547712. Its totient is φ = 9560163824640.

The previous prime is 32400201014177. The next prime is 32400201014231. The reversal of 32400201014214 is 41241010200423.

It is a super-2 number, since 2×32400201014214² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2639091444 + ... + 2639103720.

It is an arithmetic number, because the mean of its divisors is an integer number (566952832404).

Almost surely, 2^{32400201014214} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32400201014214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36284981273856).

32400201014214 is an abundant number, since it is smaller than the sum of its proper divisors (40169761533498).

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

32400201014214 is a wasteful number, since it uses less digits than its factorization.

32400201014214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17990.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 32400201014214 its reverse (41241010200423), we get a palindrome (73641211214637).

The spelling of 32400201014214 in words is "thirty-two trillion, four hundred billion, two hundred one million, fourteen thousand, two hundred fourteen".