1541941809408 has 2592 divisors, whose sum is σ = 6549800140800. Its totient is φ = 353241907200.

The previous prime is 1541941809407. The next prime is 1541941809449. The reversal of 1541941809408 is 8049081491451.

1541941809408 is a `hidden beast` number, since 1 + 5 + 419 + 4 + 180 + 9 + 40 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1541941809407) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 19518250713 + ... + 19518250791.

Almost surely, 2^{1541941809408} is an apocalyptic number.

1541941809408 is a gapful number since it is divisible by the number (18) 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 1541941809408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3274900070400).

1541941809408 is an abundant number, since it is smaller than the sum of its proper divisors (5007858331392).

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

1541941809408 is a wasteful number, since it uses less digits than its factorization.

1541941809408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 1541941809408 in words is "one trillion, five hundred forty-one billion, nine hundred forty-one million, eight hundred nine thousand, four hundred eight".