4032400112100 has 288 divisors, whose sum is σ = 13337178727040. Its totient is φ = 1044743546880.

The previous prime is 4032400112087. The next prime is 4032400112107. The reversal of 4032400112100 is 12110042304.

4032400112100 is a `hidden beast` number, since 40 + 3 + 2 + 400 + 11 + 210 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4032400112107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13053024 + ... + 13358376.

Almost surely, 2^{4032400112100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4032400112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6668589363520).

4032400112100 is an abundant number, since it is smaller than the sum of its proper divisors (9304778614940).

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

4032400112100 is a wasteful number, since it uses less digits than its factorization.

4032400112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305516 (or 305503 counting only the distinct ones).

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

Adding to 4032400112100 its reverse (12110042304), we get a palindrome (4044510154404).

The spelling of 4032400112100 in words is "four trillion, thirty-two billion, four hundred million, one hundred twelve thousand, one hundred".