40241032128 has 168 divisors, whose sum is σ = 127963330560. Its totient is φ = 11987458560.

The previous prime is 40241032043. The next prime is 40241032189. The reversal of 40241032128 is 82123014204.

40241032128 is a `hidden beast` number, since 402 + 41 + 0 + 3 + 212 + 8 = 666.

40241032128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 320001 + ... + 427647.

Almost surely, 2^40241032128 is an apocalyptic number.

40241032128 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 40241032128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63981665280).

40241032128 is an abundant number, since it is smaller than the sum of its proper divisors (87722298432).

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

40241032128 is a wasteful number, since it uses less digits than its factorization.

40241032128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107735 (or 107722 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 40241032128 in words is "forty billion, two hundred forty-one million, thirty-two thousand, one hundred twenty-eight".