414777012763 has 16 divisors (see below), whose sum is σ = 428206168192. Its totient is φ = 401535792000.

The previous prime is 414777012739. The next prime is 414777012773. The reversal of 414777012763 is 367210777414.

It is a cyclic number.

It is not a de Polignac number, because 414777012763 - 2⁵ = 414777012731 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414777012773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2091748 + ... + 2281438.

It is an arithmetic number, because the mean of its divisors is an integer number (26762885512).

Almost surely, 2^414777012763 is an apocalyptic number.

414777012763 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

414777012763 is a deficient number, since it is larger than the sum of its proper divisors (13429155429).

414777012763 is a wasteful number, since it uses less digits than its factorization.

414777012763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190186.

The product of its (nonzero) digits is 1382976, while the sum is 49.

The spelling of 414777012763 in words is "four hundred fourteen billion, seven hundred seventy-seven million, twelve thousand, seven hundred sixty-three".