42463889041728 has 896 divisors, whose sum is σ = 159753012756480. Its totient is φ = 9605671649280.

The previous prime is 42463889041669. The next prime is 42463889041729. The reversal of 42463889041728 is 82714098836424.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42463889041729) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 205231575 + ... + 205438377.

Almost surely, 2^{42463889041728} is an apocalyptic number.

42463889041728 is a gapful number since it is divisible by the number (48) 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 42463889041728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79876506378240).

42463889041728 is an abundant number, since it is smaller than the sum of its proper divisors (117289123714752).

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

42463889041728 is a wasteful number, since it uses less digits than its factorization.

42463889041728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206915 (or 206905 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 66.

The spelling of 42463889041728 in words is "forty-two trillion, four hundred sixty-three billion, eight hundred eighty-nine million, forty-one thousand, seven hundred twenty-eight".