1352624409942 has 384 divisors, whose sum is σ = 3353568583680. Its totient is φ = 360400803840.

The previous prime is 1352624409901. The next prime is 1352624409953. The reversal of 1352624409942 is 2499044262531.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1786821828 + ... + 1786822584.

It is an arithmetic number, because the mean of its divisors is an integer number (8733251520).

Almost surely, 2^{1352624409942} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1352624409942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676784291840).

1352624409942 is an abundant number, since it is smaller than the sum of its proper divisors (2000944173738).

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

1352624409942 is a wasteful number, since it uses less digits than its factorization.

1352624409942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 51.

The spelling of 1352624409942 in words is "one trillion, three hundred fifty-two billion, six hundred twenty-four million, four hundred nine thousand, nine hundred forty-two".