41624621006444 has 72 divisors (see below), whose sum is σ = 85383315304560. Its totient is φ = 17702900189184.

The previous prime is 41624621006401. The next prime is 41624621006503. The reversal of 41624621006444 is 44460012642614.

It is a junction number, because it is equal to n+sod(n) for n = 41624621006395 and 41624621006404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79300892 + ... + 79824060.

It is an arithmetic number, because the mean of its divisors is an integer number (1185879379230).

Almost surely, 2^{41624621006444} 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 41624621006444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42691657652280).

41624621006444 is an abundant number, since it is smaller than the sum of its proper divisors (43758694298116).

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

41624621006444 is a wasteful number, since it uses less digits than its factorization.

41624621006444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526287 (or 526278 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 44.

The spelling of 41624621006444 in words is "forty-one trillion, six hundred twenty-four billion, six hundred twenty-one million, six thousand, four hundred forty-four".