742414686414247 has 72 divisors (see below), whose sum is σ = 974921522798160. Its totient is φ = 563069064096000.

The previous prime is 742414686414157. The next prime is 742414686414253.

742414686414247 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 742414686414247 - 2¹¹ = 742414686412199 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742414686414047) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24824323 + ... + 45837499.

It is an arithmetic number, because the mean of its divisors is an integer number (13540576705530).

Almost surely, 2^{742414686414247} is an apocalyptic number.

742414686414247 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

742414686414247 is a deficient number, since it is larger than the sum of its proper divisors (232506836383913).

742414686414247 is a wasteful number, since it uses less digits than its factorization.

742414686414247 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21013373 (or 21013355 counting only the distinct ones).

The product of its digits is 231211008, while the sum is 64.

The spelling of 742414686414247 in words is "seven hundred forty-two trillion, four hundred fourteen billion, six hundred eighty-six million, four hundred fourteen thousand, two hundred forty-seven".