1381208040 has 192 divisors, whose sum is σ = 4769668800. Its totient is φ = 345655296.

The previous prime is 1381207981. The next prime is 1381208051. The reversal of 1381208040 is 408021831.

1381208040 = 3440² + 3441² + ... + 3552².

1381208040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1381207995 and 1381208013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 772027 + ... + 773813.

It is an arithmetic number, because the mean of its divisors is an integer number (24842025).

Almost surely, 2^1381208040 is an apocalyptic number.

1381208040 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 1381208040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2384834400).

1381208040 is an abundant number, since it is smaller than the sum of its proper divisors (3388460760).

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

1381208040 is a wasteful number, since it uses less digits than its factorization.

1381208040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1936 (or 1929 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1381208040 is about 37164.6073570003. The cubic root of 1381208040 is about 1113.6610550713.

Adding to 1381208040 its reverse (408021831), we get a palindrome (1789229871).

The spelling of 1381208040 in words is "one billion, three hundred eighty-one million, two hundred eight thousand, forty".