541021414454976 has 1344 divisors, whose sum is σ = 1964161241088000. Its totient is φ = 130814988595200.

The previous prime is 541021414454929. The next prime is 541021414454977. The reversal of 541021414454976 is 679454414120145.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (541021414454977) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6555330831 + ... + 6555413361.

Almost surely, 2^{541021414454976} is an apocalyptic number.

541021414454976 is a gapful number since it is divisible by the number (56) 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 541021414454976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982080620544000).

541021414454976 is an abundant number, since it is smaller than the sum of its proper divisors (1423139826633024).

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

541021414454976 is a wasteful number, since it uses less digits than its factorization.

541021414454976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82643 (or 82606 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 57.

The spelling of 541021414454976 in words is "five hundred forty-one trillion, twenty-one billion, four hundred fourteen million, four hundred fifty-four thousand, nine hundred seventy-six".