1542034537344 has 640 divisors, whose sum is σ = 5438378880000. Its totient is φ = 424380321792.

The previous prime is 1542034537339. The next prime is 1542034537349. The reversal of 1542034537344 is 4437354302451.

1542034537344 is a `hidden beast` number, since 1 + 5 + 42 + 0 + 34 + 537 + 3 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (1542034537339) and next prime (1542034537349).

It is a self number, because there is not a number n which added to its sum of digits gives 1542034537344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1542034537349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1513281667 + ... + 1513282685.

It is an arithmetic number, because the mean of its divisors is an integer number (8497467000).

Almost surely, 2^{1542034537344} is an apocalyptic number.

1542034537344 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 1542034537344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2719189440000).

1542034537344 is an abundant number, since it is smaller than the sum of its proper divisors (3896344342656).

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

1542034537344 is a wasteful number, since it uses less digits than its factorization.

1542034537344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 45.

Adding to 1542034537344 its reverse (4437354302451), we get a palindrome (5979388839795).

The spelling of 1542034537344 in words is "one trillion, five hundred forty-two billion, thirty-four million, five hundred thirty-seven thousand, three hundred forty-four".