1409631812820 has 384 divisors, whose sum is σ = 5579255808000. Its totient is φ = 292910083200.

The previous prime is 1409631812717. The next prime is 1409631812839. The reversal of 1409631812820 is 282181369041.

1409631812820 is a `hidden beast` number, since 1 + 4 + 0 + 9 + 631 + 8 + 1 + 2 + 8 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1691485 + ... + 2383355.

It is an arithmetic number, because the mean of its divisors is an integer number (14529312000).

Almost surely, 2^{1409631812820} is an apocalyptic number.

1409631812820 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 1409631812820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2789627904000).

1409631812820 is an abundant number, since it is smaller than the sum of its proper divisors (4169623995180).

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

1409631812820 is a wasteful number, since it uses less digits than its factorization.

1409631812820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691921 (or 691899 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 1409631812820 in words is "one trillion, four hundred nine billion, six hundred thirty-one million, eight hundred twelve thousand, eight hundred twenty".