41983712640 has 384 divisors, whose sum is σ = 151738423200. Its totient is φ = 11091935232.

The previous prime is 41983712621. The next prime is 41983712651. The reversal of 41983712640 is 4621738914.

41983712640 is a `hidden beast` number, since 4 + 19 + 8 + 371 + 264 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 17572566 + ... + 17574954.

Almost surely, 2^41983712640 is an apocalyptic number.

41983712640 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 41983712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75869211600).

41983712640 is an abundant number, since it is smaller than the sum of its proper divisors (109754710560).

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

41983712640 is a wasteful number, since it uses less digits than its factorization.

41983712640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2536 (or 2512 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 41983712640 in words is "forty-one billion, nine hundred eighty-three million, seven hundred twelve thousand, six hundred forty".