1542711540032 has 112 divisors (see below), whose sum is σ = 3442892003712. Its totient is φ = 680519178240.

The previous prime is 1542711540001. The next prime is 1542711540079. The reversal of 1542711540032 is 2300451172451.

It is a super-2 number, since 2×1542711540032² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1542711539974 and 1542711540001.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 24405107 + ... + 24468237.

It is an arithmetic number, because the mean of its divisors is an integer number (30740107176).

Almost surely, 2^{1542711540032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1542711540032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1721446001856).

1542711540032 is an abundant number, since it is smaller than the sum of its proper divisors (1900180463680).

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

1542711540032 is a wasteful number, since it uses less digits than its factorization.

1542711540032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64456 (or 64446 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The spelling of 1542711540032 in words is "one trillion, five hundred forty-two billion, seven hundred eleven million, five hundred forty thousand, thirty-two".