541247670040 has 384 divisors, whose sum is σ = 1594507420800. Its totient is φ = 161654169600.

The previous prime is 541247669999. The next prime is 541247670053. The reversal of 541247670040 is 40076742145.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 541247669975 and 541247670002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 134603230 + ... + 134607250.

It is an arithmetic number, because the mean of its divisors is an integer number (4152363075).

Almost surely, 2^541247670040 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 541247670040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797253710400).

541247670040 is an abundant number, since it is smaller than the sum of its proper divisors (1053259750760).

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

541247670040 is a wasteful number, since it uses less digits than its factorization.

541247670040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4227 (or 4212 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 40.

The spelling of 541247670040 in words is "five hundred forty-one billion, two hundred forty-seven million, six hundred seventy thousand, forty".