42032095378560 has 1536 divisors, whose sum is σ = 183630692044800. Its totient is φ = 8973180518400.

The previous prime is 42032095378531. The next prime is 42032095378577. The reversal of 42032095378560 is 6587359023024.

42032095378560 is a `hidden beast` number, since 4 + 2 + 0 + 3 + 2 + 0 + 9 + 5 + 3 + 78 + 560 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 42032095378497 and 42032095378506.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1468561050 + ... + 1468589670.

It is an arithmetic number, because the mean of its divisors is an integer number (119551231800).

Almost surely, 2^{42032095378560} is an apocalyptic number.

42032095378560 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 42032095378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91815346022400).

42032095378560 is an abundant number, since it is smaller than the sum of its proper divisors (141598596666240).

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

42032095378560 is a wasteful number, since it uses less digits than its factorization.

42032095378560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28752 (or 28728 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 42032095378560 in words is "forty-two trillion, thirty-two billion, ninety-five million, three hundred seventy-eight thousand, five hundred sixty".