2032140432400 has 180 divisors, whose sum is σ = 5564910288720. Its totient is φ = 710837337600.

The previous prime is 2032140432373. The next prime is 2032140432403. The reversal of 2032140432400 is 42340412302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2032140432403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 493315 + ... + 2075485.

Almost surely, 2^{2032140432400} is an apocalyptic number.

2032140432400 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 2032140432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2782455144360).

2032140432400 is an abundant number, since it is smaller than the sum of its proper divisors (3532769856320).

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

2032140432400 is a wasteful number, since it uses less digits than its factorization.

2032140432400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582234 (or 1582210 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 2032140432400 its reverse (42340412302), we get a palindrome (2074480844702).

The spelling of 2032140432400 in words is "two trillion, thirty-two billion, one hundred forty million, four hundred thirty-two thousand, four hundred".