41075063660400 has 240 divisors, whose sum is σ = 164044202665728. Its totient is φ = 8535078144000.

The previous prime is 41075063660381. The next prime is 41075063660413. The reversal of 41075063660400 is 406636057014.

41075063660400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 222175261 + ... + 222360060.

Almost surely, 2^{41075063660400} is an apocalyptic number.

41075063660400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41075063660400 is an abundant number, since it is smaller than the sum of its proper divisors (122969139005328).

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

41075063660400 is a wasteful number, since it uses less digits than its factorization.

41075063660400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444535360 (or 444535349 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 41075063660400 in words is "forty-one trillion, seventy-five billion, sixty-three million, six hundred sixty thousand, four hundred".