42245073726761 has 16 divisors (see below), whose sum is σ = 42681012232320. Its totient is φ = 41811928583040.

The previous prime is 42245073726697. The next prime is 42245073726767. The reversal of 42245073726761 is 16762737054224.

It is a cyclic number.

It is not a de Polignac number, because 42245073726761 - 2⁶ = 42245073726697 is a prime.

It is a super-2 number, since 2×42245073726761² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42245073726697 and 42245073726706.

It is not an unprimeable number, because it can be changed into a prime (42245073726767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29090780 + ... + 30508418.

It is an arithmetic number, because the mean of its divisors is an integer number (2667563264520).

Almost surely, 2^{42245073726761} is an apocalyptic number.

It is an amenable number.

42245073726761 is a deficient number, since it is larger than the sum of its proper divisors (435938505559).

42245073726761 is a wasteful number, since it uses less digits than its factorization.

42245073726761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418624.

The product of its (nonzero) digits is 23708160, while the sum is 56.

The spelling of 42245073726761 in words is "forty-two trillion, two hundred forty-five billion, seventy-three million, seven hundred twenty-six thousand, seven hundred sixty-one".