409991725440 has 640 divisors, whose sum is σ = 1691255855520. Its totient is φ = 93543137280.

The previous prime is 409991725433. The next prime is 409991725441. The reversal of 409991725440 is 44527199904.

409991725440 is a `hidden beast` number, since 4 + 0 + 9 + 9 + 91 + 7 + 2 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 (409991725441) 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, 9672934 + ... + 9715226.

Almost surely, 2^409991725440 is an apocalyptic number.

409991725440 is a gapful number since it is divisible by the number (40) 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 409991725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845627927760).

409991725440 is an abundant number, since it is smaller than the sum of its proper divisors (1281264130080).

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

409991725440 is a wasteful number, since it uses less digits than its factorization.

409991725440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42352 (or 42331 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 409991725440 in words is "four hundred nine billion, nine hundred ninety-one million, seven hundred twenty-five thousand, four hundred forty".