42014400 has 84 divisors (see below), whose sum is σ = 137857992. Its totient is φ = 11202560.

The previous prime is 42014383. The next prime is 42014411. The reversal of 42014400 is 441024.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 42014400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 424 + ... + 9176.

Almost surely, 2^42014400 is an apocalyptic number.

42014400 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 42014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68928996).

42014400 is an abundant number, since it is smaller than the sum of its proper divisors (95843592).

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

42014400 is a wasteful number, since it uses less digits than its factorization.

42014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8778 (or 8763 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 42014400 is about 6481.8515873167. The cubic root of 42014400 is about 347.6423859682.

Adding to 42014400 its reverse (441024), we get a palindrome (42455424).

The spelling of 42014400 in words is "forty-two million, fourteen thousand, four hundred".