1361612368480 has 768 divisors, whose sum is σ = 4249179648000. Its totient is φ = 411352381440.

The previous prime is 1361612368393. The next prime is 1361612368489. The reversal of 1361612368480 is 848632161631.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361612368489) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2773141035 + ... + 2773141525.

It is an arithmetic number, because the mean of its divisors is an integer number (5532786000).

Almost surely, 2^{1361612368480} is an apocalyptic number.

1361612368480 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 1361612368480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2124589824000).

1361612368480 is an abundant number, since it is smaller than the sum of its proper divisors (2887567279520).

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

1361612368480 is an equidigital number, since it uses as much as digits as its factorization.

1361612368480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 49.

The spelling of 1361612368480 in words is "one trillion, three hundred sixty-one billion, six hundred twelve million, three hundred sixty-eight thousand, four hundred eighty".