42910683552 has 384 divisors, whose sum is σ = 145170144000. Its totient is φ = 12187238400.

The previous prime is 42910683533. The next prime is 42910683577. The reversal of 42910683552 is 25538601924.

42910683552 is a `hidden beast` number, since 4 + 2 + 9 + 10 + 6 + 83 + 552 = 666.

42910683552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 42910683498 and 42910683507.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56386852 + ... + 56387612.

It is an arithmetic number, because the mean of its divisors is an integer number (378047250).

Almost surely, 2^42910683552 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 42910683552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72585072000).

42910683552 is an abundant number, since it is smaller than the sum of its proper divisors (102259460448).

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

42910683552 is a wasteful number, since it uses less digits than its factorization.

42910683552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 42910683552 in words is "forty-two billion, nine hundred ten million, six hundred eighty-three thousand, five hundred fifty-two".