42364458694656 has 1344 divisors, whose sum is σ = 151604050852800. Its totient is φ = 11573960638464.

The previous prime is 42364458694651. The next prime is 42364458694687. The reversal of 42364458694656 is 65649685446324.

42364458694656 is a `hidden beast` number, since 4 + 2 + 3 + 64 + 45 + 8 + 69 + 465 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42364458694651) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 34247742870 + ... + 34247744106.

It is an arithmetic number, because the mean of its divisors is an integer number (112800633075).

Almost surely, 2^{42364458694656} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42364458694656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75802025426400).

42364458694656 is an abundant number, since it is smaller than the sum of its proper divisors (109239592158144).

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

42364458694656 is a wasteful number, since it uses less digits than its factorization.

42364458694656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1391 counting only the distinct ones).

The product of its digits is 3583180800, while the sum is 72.

The spelling of 42364458694656 in words is "forty-two trillion, three hundred sixty-four billion, four hundred fifty-eight million, six hundred ninety-four thousand, six hundred fifty-six".