409879531512 has 384 divisors, whose sum is σ = 1279935820800. Its totient is φ = 117371980800.

The previous prime is 409879531493. The next prime is 409879531513. The reversal of 409879531512 is 215135978904.

It is a happy number.

409879531512 is a `hidden beast` number, since 4 + 0 + 9 + 8 + 7 + 95 + 31 + 512 = 666.

It is a super-2 number, since 2×409879531512² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409879531513) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 191441962 + ... + 191444102.

It is an arithmetic number, because the mean of its divisors is an integer number (3333166200).

Almost surely, 2^409879531512 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 409879531512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639967910400).

409879531512 is an abundant number, since it is smaller than the sum of its proper divisors (870056289288).

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

409879531512 is a wasteful number, since it uses less digits than its factorization.

409879531512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2387 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 409879531512 in words is "four hundred nine billion, eight hundred seventy-nine million, five hundred thirty-one thousand, five hundred twelve".