1331484840 has 384 divisors, whose sum is σ = 5189184000. Its totient is φ = 295787520.

The previous prime is 1331484839. The next prime is 1331484853. The reversal of 1331484840 is 484841331.

1331484840 is a `hidden beast` number, since 1 + 33 + 148 + 484 + 0 = 666.

1331484840 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1331484795 and 1331484804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5062549 + ... + 5062811.

It is an arithmetic number, because the mean of its divisors is an integer number (13513500).

Almost surely, 2^1331484840 is an apocalyptic number.

1331484840 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 1331484840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2594592000).

1331484840 is an abundant number, since it is smaller than the sum of its proper divisors (3857699160).

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

1331484840 is a wasteful number, since it uses less digits than its factorization.

1331484840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1331484840 is about 36489.5168507340. The cubic root of 1331484840 is about 1100.1335485238.

The spelling of 1331484840 in words is "one billion, three hundred thirty-one million, four hundred eighty-four thousand, eight hundred forty".