41903651328 has 480 divisors, whose sum is σ = 144897392640. Its totient is φ = 10522828800.

The previous prime is 41903651311. The next prime is 41903651347. The reversal of 41903651328 is 82315630914.

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

It is a self number, because there is not a number n which added to its sum of digits gives 41903651328.

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, 40330233 + ... + 40331271.

It is an arithmetic number, because the mean of its divisors is an integer number (301869568).

Almost surely, 2^41903651328 is an apocalyptic number.

41903651328 is a gapful number since it is divisible by the number (48) 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 41903651328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72448696320).

41903651328 is an abundant number, since it is smaller than the sum of its proper divisors (102993741312).

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

41903651328 is a wasteful number, since it uses less digits than its factorization.

41903651328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 41903651328 in words is "forty-one billion, nine hundred three million, six hundred fifty-one thousand, three hundred twenty-eight".