1540906540800 has 324 divisors, whose sum is σ = 5589649557240. Its totient is φ = 373552537600.

The previous prime is 1540906540793. The next prime is 1540906540847. The reversal of 1540906540800 is 80456090451.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1991566 + ... + 2654834.

Almost surely, 2^{1540906540800} is an apocalyptic number.

1540906540800 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 1540906540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2794824778620).

1540906540800 is an abundant number, since it is smaller than the sum of its proper divisors (4048743016440).

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

1540906540800 is a wasteful number, since it uses less digits than its factorization.

1540906540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663320 (or 663290 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 1540906540800 in words is "one trillion, five hundred forty billion, nine hundred six million, five hundred forty thousand, eight hundred".