1540501423040 has 112 divisors (see below), whose sum is σ = 3765459295584. Its totient is φ = 599944396800.

The previous prime is 1540501423033. The next prime is 1540501423061. The reversal of 1540501423040 is 403241050451.

It is a junction number, because it is equal to n+sod(n) for n = 1540501422994 and 1540501423012.

It is a congruent number.

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, 6322352 + ... + 6561488.

It is an arithmetic number, because the mean of its divisors is an integer number (33620172282).

Almost surely, 2^{1540501423040} is an apocalyptic number.

1540501423040 is a gapful number since it is divisible by the number (10) 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 1540501423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882729647792).

1540501423040 is an abundant number, since it is smaller than the sum of its proper divisors (2224957872544).

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

1540501423040 is a wasteful number, since it uses less digits than its factorization.

1540501423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239686 (or 239676 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 1540501423040 its reverse (403241050451), we get a palindrome (1943742473491).

The spelling of 1540501423040 in words is "one trillion, five hundred forty billion, five hundred one million, four hundred twenty-three thousand, forty".