42863197440 has 1152 divisors, whose sum is σ = 178014412800. Its totient is φ = 8564244480.

The previous prime is 42863197427. The next prime is 42863197483. The reversal of 42863197440 is 4479136824.

42863197440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 42863197440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 481608916 + ... + 481609004.

It is an arithmetic number, because the mean of its divisors is an integer number (154526400).

Almost surely, 2^42863197440 is an apocalyptic number.

42863197440 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 42863197440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89007206400).

42863197440 is an abundant number, since it is smaller than the sum of its proper divisors (135151215360).

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

42863197440 is a wasteful number, since it uses less digits than its factorization.

42863197440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 42863197440 in words is "forty-two billion, eight hundred sixty-three million, one hundred ninety-seven thousand, four hundred forty".