409126111245 has 80 divisors (see below), whose sum is σ = 746985697920. Its totient is φ = 214184476800.

The previous prime is 409126111211. The next prime is 409126111333. The reversal of 409126111245 is 542111621904.

409126111245 is a `hidden beast` number, since 4 + 0 + 9 + 12 + 611 + 1 + 24 + 5 = 666.

It is not a de Polignac number, because 409126111245 - 2²⁹ = 408589240333 is a prime.

It is a super-2 number, since 2×409126111245² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6553830 + ... + 6615960.

It is an arithmetic number, because the mean of its divisors is an integer number (9337321224).

Almost surely, 2^409126111245 is an apocalyptic number.

409126111245 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

409126111245 is a deficient number, since it is larger than the sum of its proper divisors (337859586675).

409126111245 is a wasteful number, since it uses less digits than its factorization.

409126111245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62448 (or 62439 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 409126111245 in words is "four hundred nine billion, one hundred twenty-six million, one hundred eleven thousand, two hundred forty-five".