38420501405 has 54 divisors (see below), whose sum is σ = 54964715022. Its totient is φ = 25750707840.

The previous prime is 38420501351. The next prime is 38420501411. The reversal of 38420501405 is 50410502483.

It can be written as a sum of positive squares in 9 ways, for example, as 38415216004 + 5285401 = 195998^2 + 2299^2 .

It is not a de Polignac number, because 38420501405 - 2²⁰ = 38419452829 is a prime.

It is a super-2 number, since 2×38420501405² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 53 ways as a sum of consecutive naturals, for example, 62675879 + ... + 62676491.

It is an arithmetic number, because the mean of its divisors is an integer number (1017865093).

Almost surely, 2^38420501405 is an apocalyptic number.

It is an amenable number.

38420501405 is a deficient number, since it is larger than the sum of its proper divisors (16544213617).

38420501405 is an equidigital number, since it uses as much as digits as its factorization.

38420501405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The spelling of 38420501405 in words is "thirty-eight billion, four hundred twenty million, five hundred one thousand, four hundred five".