541994890416 has 160 divisors (see below), whose sum is σ = 1686874890240. Its totient is φ = 146489409792.

The previous prime is 541994890369. The next prime is 541994890417. The reversal of 541994890416 is 614098499145.

541994890416 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×541994890416² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 541994890416.

It is not an unprimeable number, because it can be changed into a prime (541994890417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4298121 + ... + 4422423.

It is an arithmetic number, because the mean of its divisors is an integer number (10542968064).

Almost surely, 2^541994890416 is an apocalyptic number.

541994890416 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 541994890416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843437445120).

541994890416 is an abundant number, since it is smaller than the sum of its proper divisors (1144879999824).

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

541994890416 is a wasteful number, since it uses less digits than its factorization.

541994890416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125023 (or 125017 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 60.

The spelling of 541994890416 in words is "five hundred forty-one billion, nine hundred ninety-four million, eight hundred ninety thousand, four hundred sixteen".