40196038128 has 160 divisors (see below), whose sum is σ = 106931489280. Its totient is φ = 13007692800.

The previous prime is 40196038117. The next prime is 40196038139. The reversal of 40196038128 is 82183069104.

It is an interprime number because it is at equal distance from previous prime (40196038117) and next prime (40196038139).

It is a self number, because there is not a number n which added to its sum of digits gives 40196038128.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65572350 + ... + 65572962.

It is an arithmetic number, because the mean of its divisors is an integer number (668321808).

Almost surely, 2^40196038128 is an apocalyptic number.

40196038128 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 40196038128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53465744640).

40196038128 is an abundant number, since it is smaller than the sum of its proper divisors (66735451152).

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

40196038128 is a wasteful number, since it uses less digits than its factorization.

40196038128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 40196038128 in words is "forty billion, one hundred ninety-six million, thirty-eight thousand, one hundred twenty-eight".