42409766310 has 64 divisors (see below), whose sum is σ = 103827951360. Its totient is φ = 11082614400.

The previous prime is 42409766303. The next prime is 42409766317. The reversal of 42409766310 is 1366790424.

It is an interprime number because it is at equal distance from previous prime (42409766303) and next prime (42409766317).

It is a super-3 number, since 3×42409766310³ (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42409766317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1350285 + ... + 1381335.

It is an arithmetic number, because the mean of its divisors is an integer number (1622311740).

Almost surely, 2^42409766310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42409766310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51913975680).

42409766310 is an abundant number, since it is smaller than the sum of its proper divisors (61418185050).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42409766310 is a wasteful number, since it uses less digits than its factorization.

42409766310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31973.

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 42409766310 in words is "forty-two billion, four hundred nine million, seven hundred sixty-six thousand, three hundred ten".