42679773904248 has 256 divisors, whose sum is σ = 135745773609600. Its totient is φ = 12308464926720.

The previous prime is 42679773904219. The next prime is 42679773904277. The reversal of 42679773904248 is 84240937797624.

42679773904248 is a `hidden beast` number, since 4 + 26 + 7 + 97 + 7 + 3 + 90 + 424 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (42679773904219) and next prime (42679773904277).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9649440 + ... + 13359312.

Almost surely, 2^{42679773904248} 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 42679773904248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67872886804800).

42679773904248 is an abundant number, since it is smaller than the sum of its proper divisors (93065999705352).

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

42679773904248 is a wasteful number, since it uses less digits than its factorization.

42679773904248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3710159 (or 3710149 counting only the distinct ones).

The product of its (nonzero) digits is 1024192512, while the sum is 72.

The spelling of 42679773904248 in words is "forty-two trillion, six hundred seventy-nine billion, seven hundred seventy-three million, nine hundred four thousand, two hundred forty-eight".