42914119680 has 512 divisors, whose sum is σ = 155711160000. Its totient is φ = 11211374592.

The previous prime is 42914119637. The next prime is 42914119681. The reversal of 42914119680 is 8691141924.

It is a happy number.

42914119680 is a `hidden beast` number, since 429 + 141 + 1 + 9 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

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 (42914119681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 393707466 + ... + 393707574.

Almost surely, 2^42914119680 is an apocalyptic number.

42914119680 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 42914119680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77855580000).

42914119680 is an abundant number, since it is smaller than the sum of its proper divisors (112797040320).

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

42914119680 is an equidigital number, since it uses as much as digits as its factorization.

42914119680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 42914119680 in words is "forty-two billion, nine hundred fourteen million, one hundred nineteen thousand, six hundred eighty".