41624621021464 has 128 divisors (see below), whose sum is σ = 88309994572800. Its totient is φ = 18249196838400.

The previous prime is 41624621021429. The next prime is 41624621021573. The reversal of 41624621021464 is 46412012642614.

It is a self number, because there is not a number n which added to its sum of digits gives 41624621021464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1445837182 + ... + 1445865970.

It is an arithmetic number, because the mean of its divisors is an integer number (689921832600).

Almost surely, 2^{41624621021464} 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 41624621021464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44154997286400).

41624621021464 is an abundant number, since it is smaller than the sum of its proper divisors (46685373551336).

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

41624621021464 is a wasteful number, since it uses less digits than its factorization.

41624621021464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32985 (or 32981 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 43.

The spelling of 41624621021464 in words is "forty-one trillion, six hundred twenty-four billion, six hundred twenty-one million, twenty-one thousand, four hundred sixty-four".