42565248000 has 528 divisors, whose sum is σ = 167381061120. Its totient is φ = 10315776000.

The previous prime is 42565247951. The next prime is 42565248029. The reversal of 42565248000 is 84256524.

It is a happy number.

42565248000 is a `hidden beast` number, since 4 + 2 + 56 + 524 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12670321 + ... + 12673679.

Almost surely, 2^42565248000 is an apocalyptic number.

42565248000 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 42565248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83690530560).

42565248000 is an abundant number, since it is smaller than the sum of its proper divisors (124815813120).

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

42565248000 is a wasteful number, since it uses less digits than its factorization.

42565248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3411 (or 3380 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 42565248000 in words is "forty-two billion, five hundred sixty-five million, two hundred forty-eight thousand".