42463408320 has 168 divisors, whose sum is σ = 146358772560. Its totient is φ = 11300136960.

The previous prime is 42463408319. The next prime is 42463408321. The reversal of 42463408320 is 2380436424.

42463408320 is a `hidden beast` number, since 4 + 246 + 3 + 408 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42463408319) and next prime (42463408321).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42463408321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1399066 + ... + 1429094.

It is an arithmetic number, because the mean of its divisors is an integer number (871183170).

Almost surely, 2^42463408320 is an apocalyptic number.

42463408320 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 42463408320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73179386280).

42463408320 is an abundant number, since it is smaller than the sum of its proper divisors (103895364240).

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

42463408320 is a wasteful number, since it uses less digits than its factorization.

42463408320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30543 (or 30530 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 42463408320 in words is "forty-two billion, four hundred sixty-three million, four hundred eight thousand, three hundred twenty".