541402259580 has 1152 divisors, whose sum is σ = 2238976051200. Its totient is φ = 105719758848.

The previous prime is 541402259501. The next prime is 541402259581. The reversal of 541402259580 is 85952204145.

541402259580 is a `hidden beast` number, since 5 + 4 + 1 + 40 + 2 + 25 + 9 + 580 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541402259581) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 951497536 + ... + 951498104.

It is an arithmetic number, because the mean of its divisors is an integer number (1943555600).

Almost surely, 2^541402259580 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 541402259580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119488025600).

541402259580 is an abundant number, since it is smaller than the sum of its proper divisors (1697573791620).

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

541402259580 is a wasteful number, since it uses less digits than its factorization.

541402259580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 541402259580 in words is "five hundred forty-one billion, four hundred two million, two hundred fifty-nine thousand, five hundred eighty".