41734563840 has 288 divisors, whose sum is σ = 145650960000. Its totient is φ = 11051827200.

The previous prime is 41734563833. The next prime is 41734563841. The reversal of 41734563840 is 4836543714.

41734563840 is a `hidden beast` number, since 4 + 1 + 7 + 3 + 4 + 5 + 638 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41734563841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13914661 + ... + 13917659.

It is an arithmetic number, because the mean of its divisors is an integer number (505732500).

Almost surely, 2^41734563840 is an apocalyptic number.

41734563840 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 41734563840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72825480000).

41734563840 is an abundant number, since it is smaller than the sum of its proper divisors (103916396160).

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

41734563840 is a wasteful number, since it uses less digits than its factorization.

41734563840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3183 (or 3160 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 41734563840 in words is "forty-one billion, seven hundred thirty-four million, five hundred sixty-three thousand, eight hundred forty".