1341715415040 has 2560 divisors, whose sum is σ = 6522429070080. Its totient is φ = 254803968000.

The previous prime is 1341715414969. The next prime is 1341715415081. The reversal of 1341715415040 is 405145171431.

1341715415040 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 71 + 541 + 5 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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 = 1341715414986 and 1341715415004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13284310990 + ... + 13284311090.

Almost surely, 2^{1341715415040} is an apocalyptic number.

1341715415040 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 1341715415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3261214535040).

1341715415040 is an abundant number, since it is smaller than the sum of its proper divisors (5180713655040).

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

1341715415040 is a wasteful number, since it uses less digits than its factorization.

1341715415040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 1341715415040 in words is "one trillion, three hundred forty-one billion, seven hundred fifteen million, four hundred fifteen thousand, forty".