409380014340 has 144 divisors (see below), whose sum is σ = 1355860187136. Its totient is φ = 99156864000.

The previous prime is 409380014327. The next prime is 409380014347. The reversal of 409380014340 is 43410083904.

It is a super-2 number, since 2×409380014340² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 409380014295 and 409380014304.

It is not an unprimeable number, because it can be changed into a prime (409380014347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2189164 + ... + 2368796.

It is an arithmetic number, because the mean of its divisors is an integer number (9415695744).

Almost surely, 2^409380014340 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 409380014340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677930093568).

409380014340 is an abundant number, since it is smaller than the sum of its proper divisors (946480172796).

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

409380014340 is a wasteful number, since it uses less digits than its factorization.

409380014340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180810 (or 180805 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 409380014340 in words is "four hundred nine billion, three hundred eighty million, fourteen thousand, three hundred forty".