40361257834128 has 1920 divisors, whose sum is σ = 163094247014400. Its totient is φ = 9405196416000.

The previous prime is 40361257834123. The next prime is 40361257834153. The reversal of 40361257834128 is 82143875216304.

40361257834128 is a `hidden beast` number, since 4 + 0 + 3 + 6 + 1 + 2 + 578 + 3 + 41 + 28 = 666.

40361257834128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40361257834128² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (40361257834123) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 10480719403 + ... + 10480723253.

It is an arithmetic number, because the mean of its divisors is an integer number (84944920320).

Almost surely, 2^{40361257834128} is an apocalyptic number.

40361257834128 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 40361257834128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81547123507200).

40361257834128 is an abundant number, since it is smaller than the sum of its proper divisors (122732989180272).

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

40361257834128 is a wasteful number, since it uses less digits than its factorization.

40361257834128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4038 (or 4019 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 40361257834128 in words is "forty trillion, three hundred sixty-one billion, two hundred fifty-seven million, eight hundred thirty-four thousand, one hundred twenty-eight".