42965120 has 128 divisors (see below), whose sum is σ = 118972800. Its totient is φ = 14663680.

The previous prime is 42965113. The next prime is 42965123. The reversal of 42965120 is 2156924.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×42965120² = 3692003073228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42965123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119501 + ... + 119859.

It is an arithmetic number, because the mean of its divisors is an integer number (929475).

Almost surely, 2^42965120 is an apocalyptic number.

42965120 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 42965120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59486400).

42965120 is an abundant number, since it is smaller than the sum of its proper divisors (76007680).

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

42965120 is a wasteful number, since it uses less digits than its factorization.

42965120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 42965120 is about 6554.7784096795. The cubic root of 42965120 is about 350.2450528757.

The spelling of 42965120 in words is "forty-two million, nine hundred sixty-five thousand, one hundred twenty".