42686096640 has 288 divisors, whose sum is σ = 150951983616. Its totient is φ = 10193018880.

The previous prime is 42686096581. The next prime is 42686096729. The reversal of 42686096640 is 4669068624.

It is a super-3 number, since 3×42686096640³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2822539 + ... + 2837621.

It is an arithmetic number, because the mean of its divisors is an integer number (524138832).

Almost surely, 2^42686096640 is an apocalyptic number.

42686096640 is a gapful number since it is divisible by the number (40) 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 42686096640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75475991808).

42686096640 is an abundant number, since it is smaller than the sum of its proper divisors (108265886976).

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

42686096640 is a wasteful number, since it uses less digits than its factorization.

42686096640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15185 (or 15171 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 42686096640 in words is "forty-two billion, six hundred eighty-six million, ninety-six thousand, six hundred forty".