414014040 has 96 divisors (see below), whose sum is σ = 1467882000. Its totient is φ = 100366080.

The previous prime is 414013987. The next prime is 414014057. The reversal of 414014040 is 40410414.

It is a super-3 number, since 3×414014040³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48315 + ... + 56234.

Almost surely, 2^414014040 is an apocalyptic number.

414014040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414014040 is an abundant number, since it is smaller than the sum of its proper divisors (1053867960).

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

414014040 is a wasteful number, since it uses less digits than its factorization.

414014040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104577 (or 104570 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 414014040 is about 20347.3349606281. The cubic root of 414014040 is about 745.3124164524.

Adding to 414014040 its reverse (40410414), we get a palindrome (454424454).

The spelling of 414014040 in words is "four hundred fourteen million, fourteen thousand, forty".