32342141400 has 96 divisors (see below), whose sum is σ = 100322485200. Its totient is φ = 8619251200.

The previous prime is 32342141393. The next prime is 32342141459. The reversal of 32342141400 is 414124323.

It is a super-2 number, since 2×32342141400² (a number of 22 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 1009630 + ... + 1041170.

Almost surely, 2^32342141400 is an apocalyptic number.

32342141400 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 32342141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50161242600).

32342141400 is an abundant number, since it is smaller than the sum of its proper divisors (67980343800).

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

32342141400 is a wasteful number, since it uses less digits than its factorization.

32342141400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33269 (or 33260 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 32342141400 its reverse (414124323), we get a palindrome (32756265723).

The spelling of 32342141400 in words is "thirty-two billion, three hundred forty-two million, one hundred forty-one thousand, four hundred".