409845548904 has 32 divisors (see below), whose sum is σ = 1117760588640. Its totient is φ = 124195620800.

The previous prime is 409845548839. The next prime is 409845548909.

It is a happy number.

409845548904 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (409845548909) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 776222367 + ... + 776222894.

It is an arithmetic number, because the mean of its divisors is an integer number (34930018395).

Almost surely, 2^409845548904 is an apocalyptic number.

409845548904 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

409845548904 is an abundant number, since it is smaller than the sum of its proper divisors (707915039736).

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

409845548904 is a wasteful number, since it uses less digits than its factorization.

409845548904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552445281 (or 1552445277 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 60.

The spelling of 409845548904 in words is "four hundred nine billion, eight hundred forty-five million, five hundred forty-eight thousand, nine hundred four".