40853707128 has 512 divisors, whose sum is σ = 135717120000. Its totient is φ = 11333177856.

The previous prime is 40853707123. The next prime is 40853707187. The reversal of 40853707128 is 82170735804.

40853707128 is a `hidden beast` number, since 40 + 8 + 537 + 0 + 71 + 2 + 8 = 666.

It is a Cunningham number, because it is equal to 202123²-1.

It is a super-2 number, since 2×40853707128² (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 (40853707123) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 207379126 + ... + 207379322.

It is an arithmetic number, because the mean of its divisors is an integer number (265072500).

Almost surely, 2^40853707128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40853707128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67858560000).

40853707128 is an abundant number, since it is smaller than the sum of its proper divisors (94863412872).

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

40853707128 is a wasteful number, since it uses less digits than its factorization.

40853707128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 40853707128 in words is "forty billion, eight hundred fifty-three million, seven hundred seven thousand, one hundred twenty-eight".