42638223605760 has 1216 divisors, whose sum is σ = 156068076441600. Its totient is φ = 11041505280000.

The previous prime is 42638223605759. The next prime is 42638223605807. The reversal of 42638223605760 is 6750632283624.

42638223605760 is a `hidden beast` number, since 4 + 2 + 6 + 3 + 8 + 2 + 2 + 3 + 60 + 576 + 0 = 666.

It is a super-2 number, since 2×42638223605760² (a number of 28 digits) contains 22 as substring.

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 = 42638223605697 and 42638223605706.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 282372341685 + ... + 282372341835.

It is an arithmetic number, because the mean of its divisors is an integer number (128345457600).

Almost surely, 2^{42638223605760} is an apocalyptic number.

42638223605760 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 42638223605760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78034038220800).

42638223605760 is an abundant number, since it is smaller than the sum of its proper divisors (113429852835840).

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

42638223605760 is an equidigital number, since it uses as much as digits as its factorization.

42638223605760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 42638223605760 in words is "forty-two trillion, six hundred thirty-eight billion, two hundred twenty-three million, six hundred five thousand, seven hundred sixty".