100442041402409 has 48 divisors (see below), whose sum is σ = 120607032066048. Its totient is φ = 83354337003168.

The previous prime is 100442041402403. The next prime is 100442041402411. The reversal of 100442041402409 is 904204140244001.

It is not a de Polignac number, because 100442041402409 - 2⁴ = 100442041402393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100442041402403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 300335324 + ... + 300669570.

It is an arithmetic number, because the mean of its divisors is an integer number (2512646501376).

Almost surely, 2^{100442041402409} is an apocalyptic number.

It is an amenable number.

100442041402409 is a deficient number, since it is larger than the sum of its proper divisors (20164990663639).

100442041402409 is a wasteful number, since it uses less digits than its factorization.

100442041402409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335554 (or 335547 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The spelling of 100442041402409 in words is "one hundred trillion, four hundred forty-two billion, forty-one million, four hundred two thousand, four hundred nine".