1542040144000 has 64 divisors (see below), whose sum is σ = 3833897347800. Its totient is φ = 616816051200.

The previous prime is 1542040143961. The next prime is 1542040144009. The reversal of 1542040144000 is 4410402451.

It can be written as a sum of positive squares in 4 ways, for example, as 776471142976 + 765569001024 = 881176^2 + 874968^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1542040144009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48172755 + ... + 48204754.

Almost surely, 2^{1542040144000} is an apocalyptic number.

1542040144000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1542040144000 is an abundant number, since it is smaller than the sum of its proper divisors (2291857203800).

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

1542040144000 is an frugal number, since it uses more digits than its factorization.

1542040144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96377538 (or 96377516 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 1542040144000 its reverse (4410402451), we get a palindrome (1546450546451).

The spelling of 1542040144000 in words is "one trillion, five hundred forty-two billion, forty million, one hundred forty-four thousand".