42468660000 has 360 divisors, whose sum is σ = 162532269900. Its totient is φ = 10453248000.

The previous prime is 42468659957. The next prime is 42468660029. The reversal of 42468660000 is 6686424.

It is a happy number.

42468660000 is a `hidden beast` number, since 4 + 2 + 46 + 8 + 6 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 13141412496 + 29327247504 = 114636^2 + 171252^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2330926 + ... + 2349074.

Almost surely, 2^42468660000 is an apocalyptic number.

42468660000 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 42468660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81266134950).

42468660000 is an abundant number, since it is smaller than the sum of its proper divisors (120063609900).

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

42468660000 is a wasteful number, since it uses less digits than its factorization.

42468660000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18198 (or 18172 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 42468660000 in words is "forty-two billion, four hundred sixty-eight million, six hundred sixty thousand".