4412125334100 has 288 divisors, whose sum is σ = 14479679491200. Its totient is φ = 1027476531200.

The previous prime is 4412125334053. The next prime is 4412125334143. The reversal of 4412125334100 is 14335212144.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18735886 + ... + 18969914.

It is an arithmetic number, because the mean of its divisors is an integer number (50276664900).

Almost surely, 2^{4412125334100} 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 4412125334100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7239839745600).

4412125334100 is an abundant number, since it is smaller than the sum of its proper divisors (10067554157100).

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

4412125334100 is a wasteful number, since it uses less digits than its factorization.

4412125334100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234283 (or 234276 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 4412125334100 in words is "four trillion, four hundred twelve billion, one hundred twenty-five million, three hundred thirty-four thousand, one hundred".