1351113704640 has 448 divisors, whose sum is σ = 5449745971200. Its totient is φ = 308690030592.

The previous prime is 1351113704621. The next prime is 1351113704683. The reversal of 1351113704640 is 464073111531.

1351113704640 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 1 + 1 + 3 + 7 + 0 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1351113704595 and 1351113704604.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 215245182 + ... + 215251458.

Almost surely, 2^{1351113704640} is an apocalyptic number.

1351113704640 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 1351113704640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2724872985600).

1351113704640 is an abundant number, since it is smaller than the sum of its proper divisors (4098632266560).

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

1351113704640 is a wasteful number, since it uses less digits than its factorization.

1351113704640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9869 (or 9853 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 1351113704640 in words is "one trillion, three hundred fifty-one billion, one hundred thirteen million, seven hundred four thousand, six hundred forty".