42834407040 has 432 divisors, whose sum is σ = 155129489190. Its totient is φ = 11309414400.

The previous prime is 42834407039. The next prime is 42834407059. The reversal of 42834407040 is 4070443824.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 42195733056 + 638673984 = 205416^2 + 25272^2 .

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42834406986 and 42834407004.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 424102990 + ... + 424103090.

Almost surely, 2^42834407040 is an apocalyptic number.

42834407040 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 42834407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77564744595).

42834407040 is an abundant number, since it is smaller than the sum of its proper divisors (112295082150).

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

42834407040 is an frugal number, since it uses more digits than its factorization.

42834407040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 42834407040 in words is "forty-two billion, eight hundred thirty-four million, four hundred seven thousand, forty".