1361661239040 has 288 divisors, whose sum is σ = 4378660070400. Its totient is φ = 360625520640.

The previous prime is 1361661238979. The next prime is 1361661239077. The reversal of 1361661239040 is 409321661631.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1361661238983 and 1361661239001.

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, 384539670 + ... + 384543210.

It is an arithmetic number, because the mean of its divisors is an integer number (15203680800).

Almost surely, 2^{1361661239040} is an apocalyptic number.

1361661239040 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 1361661239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2189330035200).

1361661239040 is an abundant number, since it is smaller than the sum of its proper divisors (3016998831360).

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

1361661239040 is a wasteful number, since it uses less digits than its factorization.

1361661239040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4223 (or 4209 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The spelling of 1361661239040 in words is "one trillion, three hundred sixty-one billion, six hundred sixty-one million, two hundred thirty-nine thousand, forty".