1540442311320 has 64 divisors (see below), whose sum is σ = 5041447568640. Its totient is φ = 373440560000.

The previous prime is 1540442311307. The next prime is 1540442311327. The reversal of 1540442311320 is 231132440451.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1540442311327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 583499556 + ... + 583502195.

It is an arithmetic number, because the mean of its divisors is an integer number (78772618260).

Almost surely, 2^{1540442311320} is an apocalyptic number.

1540442311320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1540442311320 is an abundant number, since it is smaller than the sum of its proper divisors (3501005257320).

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

1540442311320 is a wasteful number, since it uses less digits than its factorization.

1540442311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167001776 (or 1167001772 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 1540442311320 its reverse (231132440451), we get a palindrome (1771574751771).

The spelling of 1540442311320 in words is "one trillion, five hundred forty billion, four hundred forty-two million, three hundred eleven thousand, three hundred twenty".