541177040 has 80 divisors (see below), whose sum is σ = 1299291840. Its totient is φ = 209495040.

The previous prime is 541176983. The next prime is 541177073. The reversal of 541177040 is 40771145.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 541176994 and 541177012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 455327 + ... + 456513.

It is an arithmetic number, because the mean of its divisors is an integer number (16241148).

Almost surely, 2^541177040 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 541177040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649645920).

541177040 is an abundant number, since it is smaller than the sum of its proper divisors (758114800).

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

541177040 is a wasteful number, since it uses less digits than its factorization.

541177040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 29.

The square root of 541177040 is about 23263.2121599748. The cubic root of 541177040 is about 814.9165182284.

The spelling of 541177040 in words is "five hundred forty-one million, one hundred seventy-seven thousand, forty".