41953766400 has 2112 divisors, whose sum is σ = 204686899200. Its totient is φ = 8174960640.

The previous prime is 41953766399. The next prime is 41953766401. The reversal of 41953766400 is 466735914.

41953766400 is a `hidden beast` number, since 4 + 19 + 537 + 66 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (41953766399) and next prime (41953766401).

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

It is not an unprimeable number, because it can be changed into a prime (41953766401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1446681586 + ... + 1446681614.

Almost surely, 2^41953766400 is an apocalyptic number.

41953766400 is a gapful number since it is divisible by the number (40) 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 41953766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102343449600).

41953766400 is an abundant number, since it is smaller than the sum of its proper divisors (162733132800).

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

41953766400 is a wasteful number, since it uses less digits than its factorization.

41953766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 41953766400 in words is "forty-one billion, nine hundred fifty-three million, seven hundred sixty-six thousand, four hundred".