42651488160 has 144 divisors (see below), whose sum is σ = 146184915240. Its totient is φ = 11323975680.

The previous prime is 42651488129. The next prime is 42651488179. The reversal of 42651488160 is 6188415624.

It is a happy number.

42651488160 is a `hidden beast` number, since 4 + 2 + 6 + 5 + 1 + 488 + 160 = 666.

42651488160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 39972804624 + 2678683536 = 199932^2 + 51756^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 265090 + ... + 394430.

Almost surely, 2^42651488160 is an apocalyptic number.

42651488160 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 42651488160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73092457620).

42651488160 is an abundant number, since it is smaller than the sum of its proper divisors (103533427080).

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

42651488160 is a wasteful number, since it uses less digits than its factorization.

42651488160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129591 (or 129580 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 42651488160 in words is "forty-two billion, six hundred fifty-one million, four hundred eighty-eight thousand, one hundred sixty".