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41233260640 = 255111317227467
BaseRepresentation
bin100110011001101100…
…011010000001100000
310221102121122200001111
4212121230122001200
51133421203320030
630535311513104
72656540634605
oct463154320140
9127377580044
1041233260640
111653a112010
127ba8b28794
133b71720ba0
141dd22b86ac
151114de262a
hex999b1a060

41233260640 has 384 divisors, whose sum is σ = 121970354688. Its totient is φ = 12941230080.

The previous prime is 41233260637. The next prime is 41233260643. The reversal of 41233260640 is 4606233214.

It is an interprime number because it is at equal distance from previous prime (41233260637) and next prime (41233260643).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41233260643) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88293687 + ... + 88294153.

It is an arithmetic number, because the mean of its divisors is an integer number (317631132).

Almost surely, 241233260640 is an apocalyptic number.

41233260640 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 41233260640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60985177344).

41233260640 is an abundant number, since it is smaller than the sum of its proper divisors (80737094048).

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

41233260640 is a wasteful number, since it uses less digits than its factorization.

41233260640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 41233260640 its reverse (4606233214), we get a palindrome (45839493854).

The spelling of 41233260640 in words is "forty-one billion, two hundred thirty-three million, two hundred sixty thousand, six hundred forty".