541151040 has 112 divisors (see below), whose sum is σ = 1726021440. Its totient is φ = 143646720.

The previous prime is 541151003. The next prime is 541151053. The reversal of 541151040 is 40151145.

It is a junction number, because it is equal to n+sod(n) for n = 541150998 and 541151016.

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, 230191 + ... + 232529.

Almost surely, 2^541151040 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 541151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863010720).

541151040 is an abundant number, since it is smaller than the sum of its proper divisors (1184870400).

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

541151040 is a wasteful number, since it uses less digits than its factorization.

541151040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2600 (or 2590 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 541151040 is about 23262.6533310369. The cubic root of 541151040 is about 814.9034675585.

It can be divided in two parts, 54115 and 1040, that added together give a palindrome (55155).

The spelling of 541151040 in words is "five hundred forty-one million, one hundred fifty-one thousand, forty".