41906795040 has 720 divisors, whose sum is σ = 166105779840. Its totient is φ = 9866188800.

The previous prime is 41906795027. The next prime is 41906795053. The reversal of 41906795040 is 4059760914.

It is an interprime number because it is at equal distance from previous prime (41906795027) and next prime (41906795053).

It is a tau number, because it is divible by the number of its divisors (720).

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 119 ways as a sum of consecutive naturals, for example, 530465721 + ... + 530465799.

It is an arithmetic number, because the mean of its divisors is an integer number (230702472).

Almost surely, 2^41906795040 is an apocalyptic number.

41906795040 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 41906795040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83052889920).

41906795040 is an abundant number, since it is smaller than the sum of its proper divisors (124198984800).

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

41906795040 is a wasteful number, since it uses less digits than its factorization.

41906795040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 41906795040 in words is "forty-one billion, nine hundred six million, seven hundred ninety-five thousand, forty".