40410988128 has 240 divisors, whose sum is σ = 142975768320. Its totient is φ = 10938219264.

The previous prime is 40410988127. The next prime is 40410988129. The reversal of 40410988128 is 82188901404.

40410988128 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 (40410988127) and next prime (40410988129).

It is a super-2 number, since 2×40410988128² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40410988127) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 286125 + ... + 403347.

It is an arithmetic number, because the mean of its divisors is an integer number (595732368).

Almost surely, 2^40410988128 is an apocalyptic number.

40410988128 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 40410988128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71487884160).

40410988128 is an abundant number, since it is smaller than the sum of its proper divisors (102564780192).

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

40410988128 is a wasteful number, since it uses less digits than its factorization.

40410988128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117271 (or 117254 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 40410988128 in words is "forty billion, four hundred ten million, nine hundred eighty-eight thousand, one hundred twenty-eight".