42029120 has 112 divisors (see below), whose sum is σ = 118506240. Its totient is φ = 13891584.

The previous prime is 42029111. The next prime is 42029131. The reversal of 42029120 is 2192024.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 42029092 and 42029101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64637 + ... + 65283.

Almost surely, 2^42029120 is an apocalyptic number.

42029120 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 42029120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59253120).

42029120 is an abundant number, since it is smaller than the sum of its proper divisors (76477120).

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

42029120 is a wasteful number, since it uses less digits than its factorization.

42029120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 42029120 is about 6482.9869658977. The cubic root of 42029120 is about 347.6829807675.

The spelling of 42029120 in words is "forty-two million, twenty-nine thousand, one hundred twenty".