42819279360 has 640 divisors, whose sum is σ = 162613592064. Its totient is φ = 9475522560.

The previous prime is 42819279341. The next prime is 42819279379. The reversal of 42819279360 is 6397291824.

It is an interprime number because it is at equal distance from previous prime (42819279341) and next prime (42819279379).

It is a tau number, because it is divible by the number of its divisors (640).

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, 139476327 + ... + 139476633.

Almost surely, 2^42819279360 is an apocalyptic number.

42819279360 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 42819279360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81306796032).

42819279360 is an abundant number, since it is smaller than the sum of its proper divisors (119794312704).

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

42819279360 is a wasteful number, since it uses less digits than its factorization.

42819279360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 42819279360 in words is "forty-two billion, eight hundred nineteen million, two hundred seventy-nine thousand, three hundred sixty".