42601094082432 has 384 divisors, whose sum is σ = 124050321158400. Its totient is φ = 14032392192000.

The previous prime is 42601094082403. The next prime is 42601094082451. The reversal of 42601094082432 is 23428049010624.

42601094082432 is a `hidden beast` number, since 4 + 2 + 601 + 0 + 9 + 4 + 0 + 8 + 2 + 4 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×42601094082432² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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, 34833273373 + ... + 34833274595.

It is an arithmetic number, because the mean of its divisors is an integer number (323047711350).

Almost surely, 2^{42601094082432} 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 42601094082432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62025160579200).

42601094082432 is an abundant number, since it is smaller than the sum of its proper divisors (81449227075968).

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

42601094082432 is a wasteful number, since it uses less digits than its factorization.

42601094082432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2346 (or 2331 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 42601094082432 in words is "forty-two trillion, six hundred one billion, ninety-four million, eighty-two thousand, four hundred thirty-two".