42693829920 has 1920 divisors, whose sum is σ = 202330275840. Its totient is φ = 8241315840.

The previous prime is 42693829897. The next prime is 42693829921. The reversal of 42693829920 is 2992839624.

It is a super-2 number, since 2×42693829920² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (42693829921) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 908379337 + ... + 908379383.

It is an arithmetic number, because the mean of its divisors is an integer number (105380352).

Almost surely, 2^42693829920 is an apocalyptic number.

42693829920 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 42693829920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101165137920).

42693829920 is an abundant number, since it is smaller than the sum of its proper divisors (159636445920).

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

42693829920 is a wasteful number, since it uses less digits than its factorization.

42693829920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 42693829920 in words is "forty-two billion, six hundred ninety-three million, eight hundred twenty-nine thousand, nine hundred twenty".