42076881360 has 120 divisors (see below), whose sum is σ = 141925815720. Its totient is φ = 11171460096.

The previous prime is 42076881331. The next prime is 42076881361. The reversal of 42076881360 is 6318867024.

42076881360 is a `hidden beast` number, since 4 + 207 + 6 + 8 + 81 + 360 = 666.

42076881360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2620620864 + 39456260496 = 51192^2 + 198636^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42076881361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37282 + ... + 292478.

It is an arithmetic number, because the mean of its divisors is an integer number (1182715131).

Almost surely, 2^42076881360 is an apocalyptic number.

42076881360 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 42076881360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70962907860).

42076881360 is an abundant number, since it is smaller than the sum of its proper divisors (99848934360).

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

42076881360 is a wasteful number, since it uses less digits than its factorization.

42076881360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255445 (or 255436 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 42076881360 in words is "forty-two billion, seventy-six million, eight hundred eighty-one thousand, three hundred sixty".