42416914456224 has 1536 divisors, whose sum is σ = 170904426577920. Its totient is φ = 9896745369600.

The previous prime is 42416914456201. The next prime is 42416914456327. The reversal of 42416914456224 is 42265441961424.

42416914456224 is a `hidden beast` number, since 4 + 2 + 4 + 1 + 6 + 9 + 1 + 4 + 4 + 5 + 622 + 4 = 666.

It is a super-2 number, since 2×42416914456224² (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 255 ways as a sum of consecutive naturals, for example, 2559390402 + ... + 2559406974.

It is an arithmetic number, because the mean of its divisors is an integer number (111265902720).

Almost surely, 2^{42416914456224} is an apocalyptic number.

42416914456224 is a gapful number since it is divisible by the number (44) 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 42416914456224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85452213288960).

42416914456224 is an abundant number, since it is smaller than the sum of its proper divisors (128487512121696).

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

42416914456224 is a wasteful number, since it uses less digits than its factorization.

42416914456224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16731 (or 16717 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 54.

The spelling of 42416914456224 in words is "forty-two trillion, four hundred sixteen billion, nine hundred fourteen million, four hundred fifty-six thousand, two hundred twenty-four".