42594973735680 has 432 divisors, whose sum is σ = 152859374347680. Its totient is φ = 11356660629504.

The previous prime is 42594973735679. The next prime is 42594973735739. The reversal of 42594973735680 is 8653737949524.

It is a happy number.

42594973735680 is a `hidden beast` number, since 4 + 2 + 5 + 9 + 497 + 3 + 7 + 3 + 56 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 42594973735599 and 42594973735608.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2853162456 + ... + 2853177384.

Almost surely, 2^{42594973735680} is an apocalyptic number.

42594973735680 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 42594973735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76429687173840).

42594973735680 is an abundant number, since it is smaller than the sum of its proper divisors (110264400612000).

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

42594973735680 is an equidigital number, since it uses as much as digits as its factorization.

42594973735680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24138 (or 24112 counting only the distinct ones).

The product of its (nonzero) digits is 1371686400, while the sum is 72.

The spelling of 42594973735680 in words is "forty-two trillion, five hundred ninety-four billion, nine hundred seventy-three million, seven hundred thirty-five thousand, six hundred eighty".