541162440 has 192 divisors, whose sum is σ = 2164780800. Its totient is φ = 114172416.

The previous prime is 541162421. The next prime is 541162459. The reversal of 541162440 is 44261145.

541162440 is a `hidden beast` number, since 5 + 411 + 6 + 244 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (541162421) and next prime (541162459).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24501 + ... + 41019.

It is an arithmetic number, because the mean of its divisors is an integer number (11274900).

Almost surely, 2^541162440 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 541162440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082390400).

541162440 is an abundant number, since it is smaller than the sum of its proper divisors (1623618360).

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

541162440 is a wasteful number, since it uses less digits than its factorization.

541162440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16556 (or 16549 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 541162440 is about 23262.8983576854. The cubic root of 541162440 is about 814.9091898268.

The spelling of 541162440 in words is "five hundred forty-one million, one hundred sixty-two thousand, four hundred forty".