42545710080 has 440 divisors, whose sum is σ = 153599625432. Its totient is φ = 11260919808.

The previous prime is 42545710073. The next prime is 42545710087. The reversal of 42545710080 is 8001754524.

42545710080 is a `hidden beast` number, since 4 + 2 + 5 + 4 + 571 + 0 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (42545710073) and next prime (42545710087).

It can be written as a sum of positive squares in 4 ways, for example, as 14353956864 + 28191753216 = 119808^2 + 167904^2 .

It is a super-2 number, since 2×42545710080² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (42545710087) 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, 71746264 + ... + 71746856.

Almost surely, 2^42545710080 is an apocalyptic number.

42545710080 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 42545710080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76799812716).

42545710080 is an abundant number, since it is smaller than the sum of its proper divisors (111053915352).

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

42545710080 is a wasteful number, since it uses less digits than its factorization.

42545710080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 42545710080 in words is "forty-two billion, five hundred forty-five million, seven hundred ten thousand, eighty".