1331169840 has 480 divisors, whose sum is σ = 6005615616. Its totient is φ = 255191040.

The previous prime is 1331169839. The next prime is 1331169863. The reversal of 1331169840 is 489611331.

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 = 1331169795 and 1331169804.

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, 719797 + ... + 721643.

Almost surely, 2^1331169840 is an apocalyptic number.

1331169840 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 1331169840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3002807808).

1331169840 is an abundant number, since it is smaller than the sum of its proper divisors (4674445776).

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

1331169840 is a wasteful number, since it uses less digits than its factorization.

1331169840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1897 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1331169840 is about 36485.2002872398. The cubic root of 1331169840 is about 1100.0467858888.

It can be divided in two parts, 1331 and 169840, that added together give a palindrome (171171).

The spelling of 1331169840 in words is "one billion, three hundred thirty-one million, one hundred sixty-nine thousand, eight hundred forty".