1540105221600 has 864 divisors, whose sum is σ = 6475535539200. Its totient is φ = 340051968000.

The previous prime is 1540105221527. The next prime is 1540105221653. The reversal of 1540105221600 is 61225010451.

1540105221600 is a `hidden beast` number, since 1 + 5 + 4 + 0 + 1 + 0 + 52 + 2 + 1 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41719951 + ... + 41756849.

It is an arithmetic number, because the mean of its divisors is an integer number (7494832800).

Almost surely, 2^{1540105221600} is an apocalyptic number.

1540105221600 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 1540105221600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3237767769600).

1540105221600 is an abundant number, since it is smaller than the sum of its proper divisors (4935430317600).

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

1540105221600 is a wasteful number, since it uses less digits than its factorization.

1540105221600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36984 (or 36968 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 1540105221600 in words is "one trillion, five hundred forty billion, one hundred five million, two hundred twenty-one thousand, six hundred".