409726107648 has 1200 divisors, whose sum is σ = 1534665775104. Its totient is φ = 107017666560.

The previous prime is 409726107647. The next prime is 409726107653. The reversal of 409726107648 is 846701627904.

409726107648 is a `hidden beast` number, since 409 + 72 + 6 + 107 + 64 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 409726107594 and 409726107603.

It is not an unprimeable number, because it can be changed into a prime (409726107647) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3226189761 + ... + 3226189887.

Almost surely, 2^409726107648 is an apocalyptic number.

409726107648 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 409726107648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767332887552).

409726107648 is an abundant number, since it is smaller than the sum of its proper divisors (1124939667456).

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

409726107648 is a wasteful number, since it uses less digits than its factorization.

409726107648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 409726107648 in words is "four hundred nine billion, seven hundred twenty-six million, one hundred seven thousand, six hundred forty-eight".