1409836464540 has 144 divisors (see below), whose sum is σ = 4892825613312. Its totient is φ = 321892783488.

The previous prime is 1409836464521. The next prime is 1409836464571. The reversal of 1409836464540 is 454646389041.

1409836464540 is a `hidden beast` number, since 1 + 4 + 0 + 9 + 8 + 36 + 4 + 64 + 540 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 525997 + ... + 1759643.

It is an arithmetic number, because the mean of its divisors is an integer number (33977955648).

Almost surely, 2^{1409836464540} is an apocalyptic number.

1409836464540 is a gapful number since it is divisible by the number (10) 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 1409836464540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2446412806656).

1409836464540 is an abundant number, since it is smaller than the sum of its proper divisors (3482989148772).

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

1409836464540 is a wasteful number, since it uses less digits than its factorization.

1409836464540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234576 (or 1234571 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 1409836464540 in words is "one trillion, four hundred nine billion, eight hundred thirty-six million, four hundred sixty-four thousand, five hundred forty".