1361645340100 has 72 divisors (see below), whose sum is σ = 3031595409920. Its totient is φ = 530564791680.

The previous prime is 1361645340091. The next prime is 1361645340109. The reversal of 1361645340100 is 10435461631.

It is an interprime number because it is at equal distance from previous prime (1361645340091) and next prime (1361645340109).

It is a super-4 number, since 4×1361645340100⁴ (a number of 50 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (1361645340109) 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, 1179421 + ... + 2028379.

Almost surely, 2^{1361645340100} is an apocalyptic number.

1361645340100 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 1361645340100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515797704960).

1361645340100 is an abundant number, since it is smaller than the sum of its proper divisors (1669950069820).

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

1361645340100 is a wasteful number, since it uses less digits than its factorization.

1361645340100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849389 (or 849382 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The spelling of 1361645340100 in words is "one trillion, three hundred sixty-one billion, six hundred forty-five million, three hundred forty thousand, one hundred".