42448716260748 has 288 divisors, whose sum is σ = 134784074342400. Its totient is φ = 11487640413312.

The previous prime is 42448716260711. The next prime is 42448716260789. The reversal of 42448716260748 is 84706261784424.

42448716260748 is a `hidden beast` number, since 4 + 2 + 4 + 4 + 8 + 7 + 16 + 2 + 607 + 4 + 8 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 553277286 + ... + 553354002.

Almost surely, 2^{42448716260748} 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 42448716260748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67392037171200).

42448716260748 is an abundant number, since it is smaller than the sum of its proper divisors (92335358081652).

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

42448716260748 is a wasteful number, since it uses less digits than its factorization.

42448716260748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82266 (or 82251 counting only the distinct ones).

The product of its (nonzero) digits is 115605504, while the sum is 63.

The spelling of 42448716260748 in words is "forty-two trillion, four hundred forty-eight billion, seven hundred sixteen million, two hundred sixty thousand, seven hundred forty-eight".