1541550104640 has 3584 divisors, whose sum is σ = 7587559526400. Its totient is φ = 285380444160.

The previous prime is 1541550104629. The next prime is 1541550104683. The reversal of 1541550104640 is 464010551451.

1541550104640 is a `hidden beast` number, since 1 + 5 + 4 + 1 + 5 + 5 + 0 + 1 + 0 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1541550104595 and 1541550104604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 15892269072 + ... + 15892269168.

It is an arithmetic number, because the mean of its divisors is an integer number (2117064600).

Almost surely, 2^{1541550104640} is an apocalyptic number.

1541550104640 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 1541550104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3793779763200).

1541550104640 is an abundant number, since it is smaller than the sum of its proper divisors (6046009421760).

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

1541550104640 is a wasteful number, since it uses less digits than its factorization.

1541550104640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 1541550104640 in words is "one trillion, five hundred forty-one billion, five hundred fifty million, one hundred four thousand, six hundred forty".