742126216405 has 64 divisors (see below), whose sum is σ = 1077497561088. Its totient is φ = 479720102400.

The previous prime is 742126216361. The next prime is 742126216427. The reversal of 742126216405 is 504612621247.

It is a happy number.

742126216405 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 742126216405 - 2⁷ = 742126216277 is a prime.

It is a super-2 number, since 2×742126216405² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15413449 + ... + 15461521.

It is an arithmetic number, because the mean of its divisors is an integer number (16835899392).

Almost surely, 2^742126216405 is an apocalyptic number.

It is an amenable number.

742126216405 is a deficient number, since it is larger than the sum of its proper divisors (335371344683).

742126216405 is a wasteful number, since it uses less digits than its factorization.

742126216405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48386.

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 742126216405 in words is "seven hundred forty-two billion, one hundred twenty-six million, two hundred sixteen thousand, four hundred five".