1356034142624 has 144 divisors (see below), whose sum is σ = 3343977120960. Its totient is φ = 537700423680.

The previous prime is 1356034142591. The next prime is 1356034142681. The reversal of 1356034142624 is 4262414306531.

It is a super-3 number, since 3×1356034142624³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1141589 + ... + 2003819.

It is an arithmetic number, because the mean of its divisors is an integer number (23222063340).

Almost surely, 2^{1356034142624} is an apocalyptic number.

1356034142624 is a gapful number since it is divisible by the number (14) 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 1356034142624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671988560480).

1356034142624 is an abundant number, since it is smaller than the sum of its proper divisors (1987942978336).

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

1356034142624 is a wasteful number, since it uses less digits than its factorization.

1356034142624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862331 (or 862316 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 41.

The spelling of 1356034142624 in words is "one trillion, three hundred fifty-six billion, thirty-four million, one hundred forty-two thousand, six hundred twenty-four".