42124720 has 40 divisors (see below), whose sum is σ = 106845840. Its totient is φ = 15317760.

The previous prime is 42124711. The next prime is 42124721. The reversal of 42124720 is 2742124.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×42124720³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 42124691 and 42124700.

It is not an unprimeable number, because it can be changed into a prime (42124721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23055 + ... + 24814.

It is an arithmetic number, because the mean of its divisors is an integer number (2671146).

Almost surely, 2^42124720 is an apocalyptic number.

42124720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42124720 is an abundant number, since it is smaller than the sum of its proper divisors (64721120).

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

42124720 is a wasteful number, since it uses less digits than its factorization.

42124720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47893 (or 47887 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 22.

The square root of 42124720 is about 6490.3559224437. The cubic root of 42124720 is about 347.9463959361.

Adding to 42124720 its reverse (2742124), we get a palindrome (44866844).

The spelling of 42124720 in words is "forty-two million, one hundred twenty-four thousand, seven hundred twenty".