414101416 has 8 divisors (see below), whose sum is σ = 776440170. Its totient is φ = 207050704.

The previous prime is 414101341. The next prime is 414101431. The reversal of 414101416 is 614101414.

It can be written as a sum of positive squares in only one way, i.e., 329277316 + 84824100 = 18146^2 + 9210^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25881331 + ... + 25881346.

Almost surely, 2^414101416 is an apocalyptic number.

It is an amenable number.

414101416 is a deficient number, since it is larger than the sum of its proper divisors (362338754).

414101416 is a wasteful number, since it uses less digits than its factorization.

414101416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51762683 (or 51762679 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 414101416 is about 20349.4819590082. The cubic root of 414101416 is about 745.3648444948.

The spelling of 414101416 in words is "four hundred fourteen million, one hundred one thousand, four hundred sixteen".