42265998736416 has 1200 divisors, whose sum is σ = 159129111506904. Its totient is φ = 10935644848128.

The previous prime is 42265998736411. The next prime is 42265998736427. The reversal of 42265998736416 is 61463789956224.

42265998736416 is a `hidden beast` number, since 4 + 2 + 2 + 6 + 59 + 98 + 73 + 6 + 416 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31091820608016 + 11174178128400 = 5576004^2 + 3342780^2 .

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

It is not an unprimeable number, because it can be changed into a prime (42265998736411) by changing a digit.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 4287912160 + ... + 4287922016.

Almost surely, 2^{42265998736416} 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 42265998736416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79564555753452).

42265998736416 is an abundant number, since it is smaller than the sum of its proper divisors (116863112770488).

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

42265998736416 is an equidigital number, since it uses as much as digits as its factorization.

42265998736416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9973 (or 9935 counting only the distinct ones).

The product of its digits is 940584960, while the sum is 72.

The spelling of 42265998736416 in words is "forty-two trillion, two hundred sixty-five billion, nine hundred ninety-eight million, seven hundred thirty-six thousand, four hundred sixteen".