40107760128 has 120 divisors (see below), whose sum is σ = 115834077216. Its totient is φ = 13359974400.

The previous prime is 40107760097. The next prime is 40107760151. The reversal of 40107760128 is 82106770104.

40107760128 is a `hidden beast` number, since 40 + 1 + 0 + 7 + 7 + 601 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40107760092 and 40107760101.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10923733 + ... + 10927403.

Almost surely, 2^40107760128 is an apocalyptic number.

40107760128 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 40107760128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57917038608).

40107760128 is an abundant number, since it is smaller than the sum of its proper divisors (75726317088).

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

40107760128 is a wasteful number, since it uses less digits than its factorization.

40107760128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6066 (or 6047 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 40107760128 in words is "forty billion, one hundred seven million, seven hundred sixty thousand, one hundred twenty-eight".