1311623040 has 256 divisors, whose sum is σ = 5146283520. Its totient is φ = 276701184.

The previous prime is 1311623009. The next prime is 1311623069. The reversal of 1311623040 is 403261131.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1311622998 and 1311623016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170967 + ... + 178473.

It is an arithmetic number, because the mean of its divisors is an integer number (20102670).

Almost surely, 2^1311623040 is an apocalyptic number.

1311623040 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 1311623040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2573141760).

1311623040 is an abundant number, since it is smaller than the sum of its proper divisors (3834660480).

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

1311623040 is a wasteful number, since it uses less digits than its factorization.

1311623040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7549 (or 7537 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1311623040 is about 36216.3366452213. The cubic root of 1311623040 is about 1094.6358790155.

Adding to 1311623040 its reverse (403261131), we get a palindrome (1714884171).

The spelling of 1311623040 in words is "one billion, three hundred eleven million, six hundred twenty-three thousand, forty".