42789468047424 has 224 divisors, whose sum is σ = 129710459863296. Its totient is φ = 12195056025600.

The previous prime is 42789468047399. The next prime is 42789468047461. The reversal of 42789468047424 is 42474086498724.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×42789468047424² (a number of 28 digits) contains 22 as substring.

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, 897839404 + ... + 897887060.

Almost surely, 2^{42789468047424} 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 42789468047424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64855229931648).

42789468047424 is an abundant number, since it is smaller than the sum of its proper divisors (86920991815872).

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

42789468047424 is a wasteful number, since it uses less digits than its factorization.

42789468047424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49333 (or 49323 counting only the distinct ones).

The product of its (nonzero) digits is 693633024, while the sum is 69.

The spelling of 42789468047424 in words is "forty-two trillion, seven hundred eighty-nine billion, four hundred sixty-eight million, forty-seven thousand, four hundred twenty-four".