409601108928 has 112 divisors (see below), whose sum is σ = 1186969472640. Its totient is φ = 123626880000.

The previous prime is 409601108921. The next prime is 409601109007. The reversal of 409601108928 is 829801106904.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409601108921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143778 + ... + 916446.

It is an arithmetic number, because the mean of its divisors is an integer number (10597941720).

Almost surely, 2^409601108928 is an apocalyptic number.

409601108928 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 409601108928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593484736320).

409601108928 is an abundant number, since it is smaller than the sum of its proper divisors (777368363712).

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

409601108928 is a wasteful number, since it uses less digits than its factorization.

409601108928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772946 (or 772936 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The spelling of 409601108928 in words is "four hundred nine billion, six hundred one million, one hundred eight thousand, nine hundred twenty-eight".