41781288640 has 252 divisors, whose sum is σ = 125330718096. Its totient is φ = 13222250496.

The previous prime is 41781288611. The next prime is 41781288649. The reversal of 41781288640 is 4688218714.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (41781288649) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2642037 + ... + 2657803.

Almost surely, 2^41781288640 is an apocalyptic number.

41781288640 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 41781288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62665359048).

41781288640 is an abundant number, since it is smaller than the sum of its proper divisors (83549429456).

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

41781288640 is a wasteful number, since it uses less digits than its factorization.

41781288640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15824 (or 15794 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 49.

The spelling of 41781288640 in words is "forty-one billion, seven hundred eighty-one million, two hundred eighty-eight thousand, six hundred forty".