1342586456640 has 2520 divisors, whose sum is σ = 6059082090600. Its totient is φ = 280868290560.

The previous prime is 1342586456639. The next prime is 1342586456663. The reversal of 1342586456640 is 466546852431.

1342586456640 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 586 + 4 + 56 + 6 + 4 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 855728603136 + 486857853504 = 925056^2 + 697752^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 9010647286 + ... + 9010647434.

It is an arithmetic number, because the mean of its divisors is an integer number (2404397655).

Almost surely, 2^{1342586456640} is an apocalyptic number.

1342586456640 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 1342586456640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3029541045300).

1342586456640 is an abundant number, since it is smaller than the sum of its proper divisors (4716495633960).

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

1342586456640 is a wasteful number, since it uses less digits than its factorization.

1342586456640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 1342586456640 in words is "one trillion, three hundred forty-two billion, five hundred eighty-six million, four hundred fifty-six thousand, six hundred forty".