409535785440 has 144 divisors (see below), whose sum is σ = 1479749242608. Its totient is φ = 102785445888.

The previous prime is 409535785411. The next prime is 409535785471. The reversal of 409535785440 is 44587535904.

It is a happy number.

409535785440 is a `hidden beast` number, since 4 + 0 + 95 + 3 + 5 + 7 + 8 + 544 + 0 = 666.

409535785440 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8340222 + ... + 8389181.

It is an arithmetic number, because the mean of its divisors is an integer number (10276036407).

Almost surely, 2^409535785440 is an apocalyptic number.

409535785440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

409535785440 is an abundant number, since it is smaller than the sum of its proper divisors (1070213457168).

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

409535785440 is a wasteful number, since it uses less digits than its factorization.

409535785440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16729441 (or 16729430 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 409535785440 in words is "four hundred nine billion, five hundred thirty-five million, seven hundred eighty-five thousand, four hundred forty".