42456625101 has 24 divisors (see below), whose sum is σ = 67389701184. Its totient is φ = 25543460160.

The previous prime is 42456625091. The next prime is 42456625111. The reversal of 42456625101 is 10152665424.

42456625101 is a `hidden beast` number, since 4 + 24 + 5 + 6 + 625 + 1 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (42456625091) and next prime (42456625111).

It is not a de Polignac number, because 42456625101 - 2¹⁵ = 42456592333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42456625111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1551601 + ... + 1578726.

It is an arithmetic number, because the mean of its divisors is an integer number (2807904216).

Almost surely, 2^42456625101 is an apocalyptic number.

It is an amenable number.

42456625101 is a deficient number, since it is larger than the sum of its proper divisors (24933076083).

42456625101 is a wasteful number, since it uses less digits than its factorization.

42456625101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3130481 (or 3130478 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 42456625101 in words is "forty-two billion, four hundred fifty-six million, six hundred twenty-five thousand, one hundred one".