1541913721920 has 2688 divisors, whose sum is σ = 6901803417600. Its totient is φ = 310453862400.

The previous prime is 1541913721919. The next prime is 1541913721921. The reversal of 1541913721920 is 291273191451.

1541913721920 is a `hidden beast` number, since 1 + 5 + 4 + 1 + 91 + 372 + 192 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1541913721919) and next prime (1541913721921).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1541913721921) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 17324873236 + ... + 17324873324.

It is an arithmetic number, because the mean of its divisors is an integer number (2567635200).

Almost surely, 2^{1541913721920} is an apocalyptic number.

1541913721920 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 1541913721920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3450901708800).

1541913721920 is an abundant number, since it is smaller than the sum of its proper divisors (5359889695680).

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

1541913721920 is a wasteful number, since it uses less digits than its factorization.

1541913721920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 1541913721920 in words is "one trillion, five hundred forty-one billion, nine hundred thirteen million, seven hundred twenty-one thousand, nine hundred twenty".