41900534646300 has 648 divisors, whose sum is σ = 146540660797440. Its totient is φ = 10004547168000.

The previous prime is 41900534646281. The next prime is 41900534646301. The reversal of 41900534646300 is 364643500914.

41900534646300 is a `hidden beast` number, since 4 + 1 + 9 + 0 + 0 + 5 + 3 + 4 + 6 + 4 + 630 + 0 = 666.

It is a super-2 number, since 2×41900534646300² (a number of 28 digits) contains 22 as substring.

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 (41900534646301) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 10074663621 + ... + 10074667779.

Almost surely, 2^{41900534646300} 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 41900534646300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73270330398720).

41900534646300 is an abundant number, since it is smaller than the sum of its proper divisors (104640126151140).

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

41900534646300 is a wasteful number, since it uses less digits than its factorization.

41900534646300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5575 (or 5554 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 41900534646300 in words is "forty-one trillion, nine hundred billion, five hundred thirty-four million, six hundred forty-six thousand, three hundred".