42693920352 has 144 divisors (see below), whose sum is σ = 124170057648. Its totient is φ = 13911367680.

The previous prime is 42693920323. The next prime is 42693920363. The reversal of 42693920352 is 25302939624.

42693920352 is a `hidden beast` number, since 4 + 269 + 39 + 2 + 0 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 42693920298 and 42693920307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2366727 + ... + 2384697.

It is an arithmetic number, because the mean of its divisors is an integer number (862292067).

Almost surely, 2^42693920352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42693920352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62085028824).

42693920352 is an abundant number, since it is smaller than the sum of its proper divisors (81476137296).

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

42693920352 is a wasteful number, since it uses less digits than its factorization.

42693920352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18173 (or 18162 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 42693920352 in words is "forty-two billion, six hundred ninety-three million, nine hundred twenty thousand, three hundred fifty-two".