42683397120 has 1584 divisors, whose sum is σ = 196350860160. Its totient is φ = 8695185408.

The previous prime is 42683397109. The next prime is 42683397161. The reversal of 42683397120 is 2179338624.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1471841266 + ... + 1471841294.

Almost surely, 2^42683397120 is an apocalyptic number.

42683397120 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 42683397120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98175430080).

42683397120 is an abundant number, since it is smaller than the sum of its proper divisors (153667463040).

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

42683397120 is a wasteful number, since it uses less digits than its factorization.

42683397120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 42683397120 in words is "forty-two billion, six hundred eighty-three million, three hundred ninety-seven thousand, one hundred twenty".