41931289440 has 240 divisors, whose sum is σ = 152757601920. Its totient is φ = 10820874240.

The previous prime is 41931289427. The next prime is 41931289451. The reversal of 41931289440 is 4498213914.

41931289440 is a `hidden beast` number, since 4 + 193 + 12 + 8 + 9 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 39 ways as a sum of consecutive naturals, for example, 349576 + ... + 453944.

It is an arithmetic number, because the mean of its divisors is an integer number (636490008).

Almost surely, 2^41931289440 is an apocalyptic number.

41931289440 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 41931289440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76378800960).

41931289440 is an abundant number, since it is smaller than the sum of its proper divisors (110826312480).

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

41931289440 is a wasteful number, since it uses less digits than its factorization.

41931289440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104427 (or 104410 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 41931289440 in words is "forty-one billion, nine hundred thirty-one million, two hundred eighty-nine thousand, four hundred forty".