42514080 has 96 divisors (see below), whose sum is σ = 153062784. Its totient is φ = 9716736.

The previous prime is 42514061. The next prime is 42514081. The reversal of 42514080 is 8041524.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42514080.

It is not an unprimeable number, because it can be changed into a prime (42514081) 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, 2967 + ... + 9686.

It is an arithmetic number, because the mean of its divisors is an integer number (1594404).

Almost surely, 2^42514080 is an apocalyptic number.

42514080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42514080 is an abundant number, since it is smaller than the sum of its proper divisors (110548704).

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

42514080 is a wasteful number, since it uses less digits than its factorization.

42514080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12678 (or 12670 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 42514080 is about 6520.2822024817. The cubic root of 42514080 is about 349.0151360556.

The spelling of 42514080 in words is "forty-two million, five hundred fourteen thousand, eighty".