541396319143680 has 3456 divisors, whose sum is σ = 2640963973616640. Its totient is φ = 103236004085760.

The previous prime is 541396319143679. The next prime is 541396319143733. The reversal of 541396319143680 is 86341913693145.

541396319143680 is a `hidden beast` number, since 5 + 4 + 1 + 3 + 9 + 6 + 3 + 191 + 436 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 41894005699 + ... + 41894018621.

It is an arithmetic number, because the mean of its divisors is an integer number (764167816440).

Almost surely, 2^{541396319143680} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541396319143680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320481986808320).

541396319143680 is an abundant number, since it is smaller than the sum of its proper divisors (2099567654472960).

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

541396319143680 is a wasteful number, since it uses less digits than its factorization.

541396319143680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13164 (or 13137 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 541396319143680 in words is "five hundred forty-one trillion, three hundred ninety-six billion, three hundred nineteen million, one hundred forty-three thousand, six hundred eighty".