41472288000 has 1728 divisors, whose sum is σ = 188027723520. Its totient is φ = 8626176000.

The previous prime is 41472287977. The next prime is 41472288041. The reversal of 41472288000 is 88227414.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 782495974 + ... + 782496026.

It is an arithmetic number, because the mean of its divisors is an integer number (108812340).

Almost surely, 2^41472288000 is an apocalyptic number.

41472288000 is a gapful number since it is divisible by the number (40) 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 41472288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94013861760).

41472288000 is an abundant number, since it is smaller than the sum of its proper divisors (146555435520).

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

41472288000 is a wasteful number, since it uses less digits than its factorization.

41472288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 41472288000 in words is "forty-one billion, four hundred seventy-two million, two hundred eighty-eight thousand".