42875932461201 has 56 divisors (see below), whose sum is σ = 73551389393664. Its totient is φ = 24472720356480.

The previous prime is 42875932461181. The next prime is 42875932461211. The reversal of 42875932461201 is 10216423957824.

It is a happy number.

42875932461201 is a `hidden beast` number, since 4 + 2 + 8 + 7 + 59 + 324 + 61 + 201 = 666.

It is not a de Polignac number, because 42875932461201 - 2⁶ = 42875932461137 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42875932461211) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 272761 + ... + 9264246.

It is an arithmetic number, because the mean of its divisors is an integer number (1313417667744).

It is a 1-persistent number, because it is pandigital, but 2⋅42875932461201 = 85751864922402 is not.

Almost surely, 2^{42875932461201} is an apocalyptic number.

It is an amenable number.

42875932461201 is a deficient number, since it is larger than the sum of its proper divisors (30675456932463).

42875932461201 is an frugal number, since it uses more digits than its factorization.

42875932461201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9537913 (or 9537898 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 42875932461201 in words is "forty-two trillion, eight hundred seventy-five billion, nine hundred thirty-two million, four hundred sixty-one thousand, two hundred one".