541094690400 has 432 divisors, whose sum is σ = 1989998756928. Its totient is φ = 126646016000.

The previous prime is 541094690399. The next prime is 541094690407. The reversal of 541094690400 is 4096490145.

It is a super-3 number, since 3×541094690400³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541094690407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22190215 + ... + 22214585.

It is an arithmetic number, because the mean of its divisors is an integer number (4606478604).

Almost surely, 2^541094690400 is an apocalyptic number.

541094690400 is a gapful number since it is divisible by the number (50) 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 541094690400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994999378464).

541094690400 is an abundant number, since it is smaller than the sum of its proper divisors (1448904066528).

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

541094690400 is a wasteful number, since it uses less digits than its factorization.

541094690400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24463 (or 24421 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 541094690400 in words is "five hundred forty-one billion, ninety-four million, six hundred ninety thousand, four hundred".