42265407936 has 224 divisors, whose sum is σ = 121841971200. Its totient is φ = 12890972160.

The previous prime is 42265407917. The next prime is 42265407941. The reversal of 42265407936 is 63970456224.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12182010 + ... + 12185478.

Almost surely, 2^42265407936 is an apocalyptic number.

42265407936 is a gapful number since it is divisible by the number (46) 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 42265407936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60920985600).

42265407936 is an abundant number, since it is smaller than the sum of its proper divisors (79576563264).

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

42265407936 is a wasteful number, since it uses less digits than its factorization.

42265407936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3627 (or 3617 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The spelling of 42265407936 in words is "forty-two billion, two hundred sixty-five million, four hundred seven thousand, nine hundred thirty-six".