1361211462640 has 80 divisors (see below), whose sum is σ = 3335170597920. Its totient is φ = 515241492480.

The previous prime is 1361211462631. The next prime is 1361211462683. The reversal of 1361211462640 is 462641121631.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 1361211462640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 830872 + ... + 1847368.

It is an arithmetic number, because the mean of its divisors is an integer number (41689632474).

Almost surely, 2^{1361211462640} is an apocalyptic number.

1361211462640 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 1361211462640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667585298960).

1361211462640 is an abundant number, since it is smaller than the sum of its proper divisors (1973959135280).

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

1361211462640 is a wasteful number, since it uses less digits than its factorization.

1361211462640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017410 (or 1017404 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 1361211462640 in words is "one trillion, three hundred sixty-one billion, two hundred eleven million, four hundred sixty-two thousand, six hundred forty".