409743863604 has 144 divisors (see below), whose sum is σ = 1141149945600. Its totient is φ = 127101883392.

The previous prime is 409743863603. The next prime is 409743863609. The reversal of 409743863604 is 406368347904.

409743863604 is a `hidden beast` number, since 4 + 0 + 97 + 438 + 63 + 60 + 4 = 666.

It is a super-2 number, since 2×409743863604² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409743863603) 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, 2704117 + ... + 2851619.

It is an arithmetic number, because the mean of its divisors is an integer number (7924652400).

Almost surely, 2^409743863604 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 409743863604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570574972800).

409743863604 is an abundant number, since it is smaller than the sum of its proper divisors (731406081996).

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

409743863604 is a wasteful number, since it uses less digits than its factorization.

409743863604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147639 (or 147614 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 409743863604 in words is "four hundred nine billion, seven hundred forty-three million, eight hundred sixty-three thousand, six hundred four".