42288086400 has 384 divisors, whose sum is σ = 159911193600. Its totient is φ = 9621749760.

The previous prime is 42288086387. The next prime is 42288086413. The reversal of 42288086400 is 468088224.

It is an interprime number because it is at equal distance from previous prime (42288086387) and next prime (42288086413).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16059484 + ... + 16062116.

It is an arithmetic number, because the mean of its divisors is an integer number (416435400).

Almost surely, 2^42288086400 is an apocalyptic number.

42288086400 is a gapful number since it is divisible by the number (40) 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 42288086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79955596800).

42288086400 is an abundant number, since it is smaller than the sum of its proper divisors (117623107200).

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

42288086400 is a wasteful number, since it uses less digits than its factorization.

42288086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2906 (or 2889 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The spelling of 42288086400 in words is "forty-two billion, two hundred eighty-eight million, eighty-six thousand, four hundred".