42401437745 has 8 divisors (see below), whose sum is σ = 50883432360. Its totient is φ = 33920012160.

The previous prime is 42401437709. The next prime is 42401437751. The reversal of 42401437745 is 54773410424.

42401437745 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7078866496 + 35322571249 = 84136^2 + 187943^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 42401437745 - 2¹⁸ = 42401175601 is a prime.

It is a super-3 number, since 3×42401437745³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43805 + ... + 294485.

It is an arithmetic number, because the mean of its divisors is an integer number (6360429045).

Almost surely, 2^42401437745 is an apocalyptic number.

It is an amenable number.

42401437745 is a deficient number, since it is larger than the sum of its proper divisors (8481994615).

42401437745 is a wasteful number, since it uses less digits than its factorization.

42401437745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284515.

The product of its (nonzero) digits is 376320, while the sum is 41.

The spelling of 42401437745 in words is "forty-two billion, four hundred one million, four hundred thirty-seven thousand, seven hundred forty-five".