42766045040 has 80 divisors (see below), whose sum is σ = 103792285440. Its totient is φ = 16368506880.

The previous prime is 42766045027. The next prime is 42766045057. The reversal of 42766045040 is 4054066724.

42766045040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 42766044985 and 42766045003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123842 + ... + 317598.

It is an arithmetic number, because the mean of its divisors is an integer number (1297403568).

Almost surely, 2^42766045040 is an apocalyptic number.

42766045040 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 42766045040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51896142720).

42766045040 is an abundant number, since it is smaller than the sum of its proper divisors (61026240400).

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

42766045040 is a wasteful number, since it uses less digits than its factorization.

42766045040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193890 (or 193884 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 38.

The spelling of 42766045040 in words is "forty-two billion, seven hundred sixty-six million, forty-five thousand, forty".