409094129376 has 144 divisors (see below), whose sum is σ = 1183566384000. Its totient is φ = 134006171904.

The previous prime is 409094129369. The next prime is 409094129399. The reversal of 409094129376 is 673921490904.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×409094129376² (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 23 ways as a sum of consecutive naturals, for example, 8059725 + ... + 8110323.

It is an arithmetic number, because the mean of its divisors is an integer number (8219211000).

Almost surely, 2^409094129376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409094129376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591783192000).

409094129376 is an abundant number, since it is smaller than the sum of its proper divisors (774472254624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

409094129376 is a wasteful number, since it uses less digits than its factorization.

409094129376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51101 (or 51090 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 409094129376 in words is "four hundred nine billion, ninety-four million, one hundred twenty-nine thousand, three hundred seventy-six".