42766530436224 has 1536 divisors, whose sum is σ = 153724355366400. Its totient is φ = 11455285690368.

The previous prime is 42766530436211. The next prime is 42766530436361. The reversal of 42766530436224 is 42263403566724.

42766530436224 is a `hidden beast` number, since 4 + 2 + 7 + 6 + 6 + 5 + 3 + 0 + 4 + 3 + 622 + 4 = 666.

It is a super-2 number, since 2×42766530436224² (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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 183547340812 + ... + 183547341044.

It is an arithmetic number, because the mean of its divisors is an integer number (100080960525).

Almost surely, 2^{42766530436224} 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 42766530436224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76862177683200).

42766530436224 is an abundant number, since it is smaller than the sum of its proper divisors (110957824930176).

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

42766530436224 is a wasteful number, since it uses less digits than its factorization.

42766530436224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 54.

The spelling of 42766530436224 in words is "forty-two trillion, seven hundred sixty-six billion, five hundred thirty million, four hundred thirty-six thousand, two hundred twenty-four".