409642241088 has 224 divisors, whose sum is σ = 1170563673600. Its totient is φ = 126035288064.

The previous prime is 409642241081. The next prime is 409642241101. The reversal of 409642241088 is 880142246904.

It is a happy number.

It is a Cunningham number, because it is equal to 640033²-1.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (409642241081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24312795 + ... + 24329637.

Almost surely, 2^409642241088 is an apocalyptic number.

409642241088 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409642241088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585281836800).

409642241088 is an abundant number, since it is smaller than the sum of its proper divisors (760921432512).

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

409642241088 is a wasteful number, since it uses less digits than its factorization.

409642241088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17049 (or 17039 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 409642241088 in words is "four hundred nine billion, six hundred forty-two million, two hundred forty-one thousand, eighty-eight".