414414022407 has 64 divisors (see below), whose sum is σ = 707017973760. Its totient is φ = 209690006400.

The previous prime is 414414022357. The next prime is 414414022409. The reversal of 414414022407 is 704220414414.

It is a happy number.

It is not a de Polignac number, because 414414022407 - 2⁶ = 414414022343 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414414022409) 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, 1209069 + ... + 1513497.

It is an arithmetic number, because the mean of its divisors is an integer number (11047155840).

Almost surely, 2^414414022407 is an apocalyptic number.

414414022407 is a deficient number, since it is larger than the sum of its proper divisors (292603951353).

414414022407 is a wasteful number, since it uses less digits than its factorization.

414414022407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304604.

The product of its (nonzero) digits is 28672, while the sum is 33.

The spelling of 414414022407 in words is "four hundred fourteen billion, four hundred fourteen million, twenty-two thousand, four hundred seven".