42688699688624 has 40 divisors (see below), whose sum is σ = 91575080361408. Its totient is φ = 19114343138880.

The previous prime is 42688699688581. The next prime is 42688699688639.

42688699688624 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×42688699688624³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1810058582 + ... + 1810082165.

Almost surely, 2^{42688699688624} is an apocalyptic number.

42688699688624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42688699688624 is an abundant number, since it is smaller than the sum of its proper divisors (48886380672784).

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

42688699688624 is a wasteful number, since it uses less digits than its factorization.

42688699688624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3620140833 (or 3620140827 counting only the distinct ones).

The product of its digits is 27518828544, while the sum is 86.

The spelling of 42688699688624 in words is "forty-two trillion, six hundred eighty-eight billion, six hundred ninety-nine million, six hundred eighty-eight thousand, six hundred twenty-four".