41906040288 has 288 divisors, whose sum is σ = 132973293600. Its totient is φ = 11508166656.

The previous prime is 41906040269. The next prime is 41906040307. The reversal of 41906040288 is 88204060914.

41906040288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41906040269) and next prime (41906040307).

It is a super-2 number, since 2×41906040288² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 37786678 + ... + 37787786.

It is an arithmetic number, because the mean of its divisors is an integer number (461712825).

Almost surely, 2^41906040288 is an apocalyptic number.

41906040288 is a gapful number since it is divisible by the number (48) 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 41906040288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66486646800).

41906040288 is an abundant number, since it is smaller than the sum of its proper divisors (91067253312).

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

41906040288 is a wasteful number, since it uses less digits than its factorization.

41906040288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 41906040288 in words is "forty-one billion, nine hundred six million, forty thousand, two hundred eighty-eight".