42420783808512 has 276 divisors, whose sum is σ = 127090818601656. Its totient is φ = 14139921530880.

The previous prime is 42420783808499. The next prime is 42420783808517. The reversal of 42420783808512 is 21580838702424.

It is a happy number.

42420783808512 is a `hidden beast` number, since 4 + 2 + 4 + 20 + 78 + 38 + 0 + 8 + 512 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42420783808517) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1019195062 + ... + 1019236682.

Almost surely, 2^{42420783808512} 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 42420783808512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63545409300828).

42420783808512 is an abundant number, since it is smaller than the sum of its proper divisors (84670034793144).

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

42420783808512 is an frugal number, since it uses more digits than its factorization.

42420783808512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41680 (or 41626 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 42420783808512 in words is "forty-two trillion, four hundred twenty billion, seven hundred eighty-three million, eight hundred eight thousand, five hundred twelve".