40043164128 has 192 divisors, whose sum is σ = 120168728064. Its totient is φ = 11556864000.

The previous prime is 40043164103. The next prime is 40043164159. The reversal of 40043164128 is 82146134004.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5849988 + ... + 5856828.

It is an arithmetic number, because the mean of its divisors is an integer number (625878792).

Almost surely, 2^40043164128 is an apocalyptic number.

40043164128 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 40043164128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60084364032).

40043164128 is an abundant number, since it is smaller than the sum of its proper divisors (80125563936).

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

40043164128 is a wasteful number, since it uses less digits than its factorization.

40043164128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7129 (or 7121 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 40043164128 in words is "forty billion, forty-three million, one hundred sixty-four thousand, one hundred twenty-eight".