42077431344 has 160 divisors (see below), whose sum is σ = 118699666624. Its totient is φ = 12766740480.

The previous prime is 42077431343. The next prime is 42077431367. The reversal of 42077431344 is 44313477024.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (42077431343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18944154 + ... + 18946374.

Almost surely, 2^42077431344 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 42077431344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59349833312).

42077431344 is an abundant number, since it is smaller than the sum of its proper divisors (76622235280).

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

42077431344 is a wasteful number, since it uses less digits than its factorization.

42077431344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2655 (or 2649 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 39.

The spelling of 42077431344 in words is "forty-two billion, seventy-seven million, four hundred thirty-one thousand, three hundred forty-four".