42007884859801 has 27 divisors (see below), whose sum is σ = 48993891411231. Its totient is φ = 35912999256624.

The previous prime is 42007884859793. The next prime is 42007884859813. The reversal of 42007884859801 is 10895848870024.

The square root of 42007884859801 is 6481349.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 28601478361225 + 13406406498576 = 5348035^2 + 3661476^2 .

It is not a de Polignac number, because 42007884859801 - 2³ = 42007884859793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42007884859841) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21731962231 + ... + 21731964163.

Almost surely, 2^{42007884859801} is an apocalyptic number.

42007884859801 is the 6481349-th square number.

42007884859801 is the 3240675-th centered octagonal number.

It is an amenable number.

42007884859801 is a deficient number, since it is larger than the sum of its proper divisors (6986006551430).

42007884859801 is an frugal number, since it uses more digits than its factorization.

42007884859801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4838 (or 2419 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 64.

The spelling of 42007884859801 in words is "forty-two trillion, seven billion, eight hundred eighty-four million, eight hundred fifty-nine thousand, eight hundred one".