541364340 has 192 divisors, whose sum is σ = 1817303040. Its totient is φ = 118863360.

The previous prime is 541364339. The next prime is 541364381. The reversal of 541364340 is 43463145.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 541364298 and 541364307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 287482 + ... + 289358.

It is an arithmetic number, because the mean of its divisors is an integer number (9465120).

Almost surely, 2^541364340 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 541364340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908651520).

541364340 is an abundant number, since it is smaller than the sum of its proper divisors (1275938700).

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

541364340 is a wasteful number, since it uses less digits than its factorization.

541364340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 541364340 is about 23267.2374810591. The cubic root of 541364340 is about 815.0105208975.

The spelling of 541364340 in words is "five hundred forty-one million, three hundred sixty-four thousand, three hundred forty".