42866109440 has 440 divisors, whose sum is σ = 131277581712. Its totient is φ = 13318717440.

The previous prime is 42866109439. The next prime is 42866109449. The reversal of 42866109440 is 4490166824.

It is a tau number, because it is divible by the number of its divisors (440).

It is a super-2 number, since 2×42866109440² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 42866109391 and 42866109400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42866109449) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 135224162 + ... + 135224478.

Almost surely, 2^42866109440 is an apocalyptic number.

42866109440 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 42866109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65638790856).

42866109440 is an abundant number, since it is smaller than the sum of its proper divisors (88411472272).

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

42866109440 is an equidigital number, since it uses as much as digits as its factorization.

42866109440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 44.

The spelling of 42866109440 in words is "forty-two billion, eight hundred sixty-six million, one hundred nine thousand, four hundred forty".