42460006512 has 160 divisors (see below), whose sum is σ = 137575194624. Its totient is φ = 10962374400.

The previous prime is 42460006507. The next prime is 42460006513. The reversal of 42460006512 is 21560006424.

It is a super-2 number, since 2×42460006512² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42460006512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42460006513) 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, 582837 + ... + 651627.

Almost surely, 2^42460006512 is an apocalyptic number.

42460006512 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42460006512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68787597312).

42460006512 is an abundant number, since it is smaller than the sum of its proper divisors (95115188112).

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

42460006512 is a wasteful number, since it uses less digits than its factorization.

42460006512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68987 (or 68981 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 42460006512 in words is "forty-two billion, four hundred sixty million, six thousand, five hundred twelve".