41623634000 has 80 divisors (see below), whose sum is σ = 108388010640. Its totient is φ = 15368716800.

The previous prime is 41623633981. The next prime is 41623634051. The reversal of 41623634000 is 43632614.

It can be written as a sum of positive squares in 8 ways, for example, as 18847994944 + 22775639056 = 137288^2 + 150916^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 774455 + ... + 826454.

It is an arithmetic number, because the mean of its divisors is an integer number (1354850133).

Almost surely, 2^41623634000 is an apocalyptic number.

41623634000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41623634000 is an abundant number, since it is smaller than the sum of its proper divisors (66764376640).

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

41623634000 is a wasteful number, since it uses less digits than its factorization.

41623634000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600945 (or 1600929 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The spelling of 41623634000 in words is "forty-one billion, six hundred twenty-three million, six hundred thirty-four thousand".