1541185836960 has 576 divisors, whose sum is σ = 6254346534912. Its totient is φ = 309908736000.

The previous prime is 1541185836917. The next prime is 1541185836961. The reversal of 1541185836960 is 696385811451.

It is a self number, because there is not a number n which added to its sum of digits gives 1541185836960.

It is not an unprimeable number, because it can be changed into a prime (1541185836961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35496865 + ... + 35540255.

It is an arithmetic number, because the mean of its divisors is an integer number (10858240512).

Almost surely, 2^{1541185836960} is an apocalyptic number.

1541185836960 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 1541185836960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3127173267456).

1541185836960 is an abundant number, since it is smaller than the sum of its proper divisors (4713160697952).

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

1541185836960 is a wasteful number, since it uses less digits than its factorization.

1541185836960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43489 (or 43450 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 57.

The spelling of 1541185836960 in words is "one trillion, five hundred forty-one billion, one hundred eighty-five million, eight hundred thirty-six thousand, nine hundred sixty".