1361783040 has 216 divisors, whose sum is σ = 4470963840. Its totient is φ = 353193984.

The previous prime is 1361783023. The next prime is 1361783041. The reversal of 1361783040 is 403871631.

It is a junction number, because it is equal to n+sod(n) for n = 1361782992 and 1361783010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361783041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17237721 + ... + 17237799.

Almost surely, 2^1361783040 is an apocalyptic number.

1361783040 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 1361783040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2235481920).

1361783040 is an abundant number, since it is smaller than the sum of its proper divisors (3109180800).

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

1361783040 is an frugal number, since it uses more digits than its factorization.

1361783040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 1361783040 is about 36902.3446409574. The cubic root of 1361783040 is about 1108.4156277611.

The spelling of 1361783040 in words is "one billion, three hundred sixty-one million, seven hundred eighty-three thousand, forty".