541045100510400 has 1344 divisors, whose sum is σ = 1993589522104320. Its totient is φ = 127899117158400.

The previous prime is 541045100510377. The next prime is 541045100510407. The reversal of 541045100510400 is 4015001540145.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (541045100510407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11028882672 + ... + 11028931728.

It is an arithmetic number, because the mean of its divisors is an integer number (1483325537280).

Almost surely, 2^{541045100510400} is an apocalyptic number.

541045100510400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541045100510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996794761052160).

541045100510400 is an abundant number, since it is smaller than the sum of its proper divisors (1452544421593920).

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

541045100510400 is a wasteful number, since it uses less digits than its factorization.

541045100510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49262 (or 49247 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The spelling of 541045100510400 in words is "five hundred forty-one trillion, forty-five billion, one hundred million, five hundred ten thousand, four hundred".