541397919384 has 256 divisors, whose sum is σ = 1851260928000. Its totient is φ = 143135475840.

The previous prime is 541397919383. The next prime is 541397919389. The reversal of 541397919384 is 483919793145.

541397919384 is a `hidden beast` number, since 54 + 1 + 397 + 9 + 193 + 8 + 4 = 666.

It is a super-2 number, since 2×541397919384² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541397919383) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1016169 + ... + 1454439.

It is an arithmetic number, because the mean of its divisors is an integer number (7231488000).

Almost surely, 2^541397919384 is an apocalyptic number.

541397919384 is a gapful number since it is divisible by the number (54) 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 541397919384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925630464000).

541397919384 is an abundant number, since it is smaller than the sum of its proper divisors (1309863008616).

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

541397919384 is a wasteful number, since it uses less digits than its factorization.

541397919384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438355 (or 438345 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 63.

The spelling of 541397919384 in words is "five hundred forty-one billion, three hundred ninety-seven million, nine hundred nineteen thousand, three hundred eighty-four".