414042321 has 64 divisors (see below), whose sum is σ = 713373696. Its totient is φ = 207360000.

The previous prime is 414042311. The next prime is 414042337. The reversal of 414042321 is 123240414.

It is not a de Polignac number, because 414042321 - 2⁵ = 414042289 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (414042311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1649446 + ... + 1649696.

It is an arithmetic number, because the mean of its divisors is an integer number (11146464).

Almost surely, 2^414042321 is an apocalyptic number.

It is an amenable number.

414042321 is a deficient number, since it is larger than the sum of its proper divisors (299331375).

414042321 is a wasteful number, since it uses less digits than its factorization.

414042321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 414042321 is about 20348.0299046370. The cubic root of 414042321 is about 745.3293866503.

Adding to 414042321 its reverse (123240414), we get a palindrome (537282735).

The spelling of 414042321 in words is "four hundred fourteen million, forty-two thousand, three hundred twenty-one".