1361007991200 has 1152 divisors, whose sum is σ = 5533565829120. Its totient is φ = 285460070400.

The previous prime is 1361007991171. The next prime is 1361007991207. The reversal of 1361007991200 is 21997001631.

It is a happy number.

It is a super-3 number, since 3×1361007991200³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (1361007991207) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2794677357 + ... + 2794677843.

It is an arithmetic number, because the mean of its divisors is an integer number (4803442560).

Almost surely, 2^{1361007991200} is an apocalyptic number.

1361007991200 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 1361007991200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766782914560).

1361007991200 is an abundant number, since it is smaller than the sum of its proper divisors (4172557837920).

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

1361007991200 is a wasteful number, since it uses less digits than its factorization.

1361007991200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 39.

The spelling of 1361007991200 in words is "one trillion, three hundred sixty-one billion, seven million, nine hundred ninety-one thousand, two hundred".