32140211400 has 384 divisors, whose sum is σ = 121420800000. Its totient is φ = 7749561600.

The previous prime is 32140211381. The next prime is 32140211413. The reversal of 32140211400 is 411204123.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11819241 + ... + 11821959.

It is an arithmetic number, because the mean of its divisors is an integer number (316200000).

Almost surely, 2^32140211400 is an apocalyptic number.

32140211400 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 32140211400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60710400000).

32140211400 is an abundant number, since it is smaller than the sum of its proper divisors (89280588600).

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

32140211400 is a wasteful number, since it uses less digits than its factorization.

32140211400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2954 (or 2939 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 32140211400 its reverse (411204123), we get a palindrome (32551415523).

The spelling of 32140211400 in words is "thirty-two billion, one hundred forty million, two hundred eleven thousand, four hundred".