541903641840 has 960 divisors, whose sum is σ = 2113620148224. Its totient is φ = 123206400000.

The previous prime is 541903641827. The next prime is 541903641857. The reversal of 541903641840 is 48146309145.

541903641840 is a `hidden beast` number, since 5 + 4 + 190 + 3 + 6 + 418 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1742455285 + ... + 1742455595.

Almost surely, 2^541903641840 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 541903641840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056810074112).

541903641840 is an abundant number, since it is smaller than the sum of its proper divisors (1571716506384).

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

541903641840 is a wasteful number, since it uses less digits than its factorization.

541903641840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 541903641840 in words is "five hundred forty-one billion, nine hundred three million, six hundred forty-one thousand, eight hundred forty".