42437866464 has 192 divisors, whose sum is σ = 143572262400. Its totient is φ = 11944018944.

The previous prime is 42437866453. The next prime is 42437866543. The reversal of 42437866464 is 46466873424.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 42437866464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 352852 + ... + 457580.

It is an arithmetic number, because the mean of its divisors is an integer number (747772200).

Almost surely, 2^42437866464 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 42437866464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71786131200).

42437866464 is an abundant number, since it is smaller than the sum of its proper divisors (101134395936).

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

42437866464 is a wasteful number, since it uses less digits than its factorization.

42437866464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104822 (or 104808 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 54.

The spelling of 42437866464 in words is "forty-two billion, four hundred thirty-seven million, eight hundred sixty-six thousand, four hundred sixty-four".