1540435321536 has 112 divisors (see below), whose sum is σ = 4108003447680. Its totient is φ = 509415362560.

The previous prime is 1540435321519. The next prime is 1540435321543. The reversal of 1540435321536 is 6351235340451.

It is a happy number.

It is a super-3 number, since 3×1540435321536³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

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, 125980255 + ... + 125992481.

Almost surely, 2^{1540435321536} is an apocalyptic number.

1540435321536 is a gapful number since it is divisible by the number (16) 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 1540435321536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054001723840).

1540435321536 is an abundant number, since it is smaller than the sum of its proper divisors (2567568126144).

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

1540435321536 is a wasteful number, since it uses less digits than its factorization.

1540435321536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17382 (or 17372 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 1540435321536 in words is "one trillion, five hundred forty billion, four hundred thirty-five million, three hundred twenty-one thousand, five hundred thirty-six".