42474032520192 has 1584 divisors, whose sum is σ = 158711312279520. Its totient is φ = 10837322366976.

The previous prime is 42474032520169. The next prime is 42474032520299. The reversal of 42474032520192 is 29102523047424.

42474032520192 is a `hidden beast` number, since 4 + 2 + 4 + 7 + 4 + 0 + 32 + 520 + 1 + 92 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28525205784 + ... + 28525207272.

It is an arithmetic number, because the mean of its divisors is an integer number (100196535530).

Almost surely, 2^{42474032520192} is an apocalyptic number.

42474032520192 is a gapful number since it is divisible by the number (42) 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 42474032520192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79355656139760).

42474032520192 is an abundant number, since it is smaller than the sum of its proper divisors (116237279759328).

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

42474032520192 is a wasteful number, since it uses less digits than its factorization.

42474032520192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 42474032520192 in words is "forty-two trillion, four hundred seventy-four billion, thirty-two million, five hundred twenty thousand, one hundred ninety-two".