41252833440 has 1440 divisors, whose sum is σ = 192714318720. Its totient is φ = 8214441984.

The previous prime is 41252833439. The next prime is 41252833441. The reversal of 41252833440 is 4433825214.

It is an interprime number because it is at equal distance from previous prime (41252833439) and next prime (41252833441).

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a junction number, because it is equal to n+sod(n) for n = 41252833395 and 41252833404.

It is not an unprimeable number, because it can be changed into a prime (41252833441) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 156854749 + ... + 156855011.

It is an arithmetic number, because the mean of its divisors is an integer number (133829388).

Almost surely, 2^41252833440 is an apocalyptic number.

41252833440 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 41252833440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96357159360).

41252833440 is an abundant number, since it is smaller than the sum of its proper divisors (151461485280).

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

41252833440 is a wasteful number, since it uses less digits than its factorization.

41252833440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 41252833440 in words is "forty-one billion, two hundred fifty-two million, eight hundred thirty-three thousand, four hundred forty".