42016394880 has 384 divisors, whose sum is σ = 157788006480. Its totient is φ = 10259398656.

The previous prime is 42016394837. The next prime is 42016394911. The reversal of 42016394880 is 8849361024.

It is a happy number.

42016394880 is a `hidden beast` number, since 4 + 2 + 0 + 1 + 639 + 4 + 8 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 39118510656 + 2897884224 = 197784^2 + 53832^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3617242 + ... + 3628838.

Almost surely, 2^42016394880 is an apocalyptic number.

42016394880 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 42016394880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78894003240).

42016394880 is an abundant number, since it is smaller than the sum of its proper divisors (115771611600).

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

42016394880 is a wasteful number, since it uses less digits than its factorization.

42016394880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11676 (or 11661 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 42016394880 in words is "forty-two billion, sixteen million, three hundred ninety-four thousand, eight hundred eighty".