1361987766240 has 96 divisors (see below), whose sum is σ = 4324043243520. Its totient is φ = 360336904704.

The previous prime is 1361987766199. The next prime is 1361987766241. The reversal of 1361987766240 is 426677891631.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361987766241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11110200 + ... + 11232119.

It is an arithmetic number, because the mean of its divisors is an integer number (45042117120).

Almost surely, 2^{1361987766240} is an apocalyptic number.

1361987766240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1361987766240 is an abundant number, since it is smaller than the sum of its proper divisors (2962055477280).

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

1361987766240 is a wasteful number, since it uses less digits than its factorization.

1361987766240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22342464 (or 22342456 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 60.

The spelling of 1361987766240 in words is "one trillion, three hundred sixty-one billion, nine hundred eighty-seven million, seven hundred sixty-six thousand, two hundred forty".