4412040342100 has 72 divisors (see below), whose sum is σ = 9585351607608. Its totient is φ = 1762748467200.

The previous prime is 4412040342097. The next prime is 4412040342107. The reversal of 4412040342100 is 12430402144.

It can be written as a sum of positive squares in 12 ways, for example, as 442749175236 + 3969291166864 = 665394^2 + 1992308^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4412040342107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 366412080 + ... + 366424120.

It is an arithmetic number, because the mean of its divisors is an integer number (133129883439).

Almost surely, 2^{4412040342100} is an apocalyptic number.

It is an amenable number.

4412040342100 is an abundant number, since it is smaller than the sum of its proper divisors (5173311265508).

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

4412040342100 is a wasteful number, since it uses less digits than its factorization.

4412040342100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16045 (or 16038 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 4412040342100 its reverse (12430402144), we get a palindrome (4424470744244).

The spelling of 4412040342100 in words is "four trillion, four hundred twelve billion, forty million, three hundred forty-two thousand, one hundred".