1540536012342 has 128 divisors (see below), whose sum is σ = 3525976396800. Its totient is φ = 498350092032.

The previous prime is 1540536012233. The next prime is 1540536012359. The reversal of 1540536012342 is 2432106350451.

1540536012342 is a `hidden beast` number, since 1 + 5 + 4 + 0 + 5 + 3 + 601 + 2 + 3 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1540536012297 and 1540536012306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 304511409 + ... + 304516467.

It is an arithmetic number, because the mean of its divisors is an integer number (27546690600).

Almost surely, 2^{1540536012342} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1540536012342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762988198400).

1540536012342 is an abundant number, since it is smaller than the sum of its proper divisors (1985440384458).

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

1540536012342 is a wasteful number, since it uses less digits than its factorization.

1540536012342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6259 (or 6253 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 1540536012342 in words is "one trillion, five hundred forty billion, five hundred thirty-six million, twelve thousand, three hundred forty-two".