1413261336960 has 1024 divisors, whose sum is σ = 5637430656000. Its totient is φ = 334406983680.

The previous prime is 1413261336947. The next prime is 1413261337031. The reversal of 1413261336960 is 696331623141.

It is a happy number.

1413261336960 is a `hidden beast` number, since 14 + 13 + 2 + 613 + 3 + 6 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 988985526 + ... + 988986954.

It is an arithmetic number, because the mean of its divisors is an integer number (5505303375).

Almost surely, 2^{1413261336960} is an apocalyptic number.

1413261336960 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 1413261336960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2818715328000).

1413261336960 is an abundant number, since it is smaller than the sum of its proper divisors (4224169319040).

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

1413261336960 is a wasteful number, since it uses less digits than its factorization.

1413261336960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 1413261336960 in words is "one trillion, four hundred thirteen billion, two hundred sixty-one million, three hundred thirty-six thousand, nine hundred sixty".