40128930867600 has 315 divisors, whose sum is σ = 144560832928689. Its totient is φ = 10700136028800.

The previous prime is 40128930867563. The next prime is 40128930867611. The reversal of 40128930867600 is 676803982104.

The square root of 40128930867600 is 6334740.

It is a perfect power (a square), and thus also a powerful number.

40128930867600 is a `hidden beast` number, since 4 + 0 + 1 + 28 + 9 + 3 + 0 + 8 + 6 + 7 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14446415112336 + 25682515755264 = 3800844^2 + 5067792^2 .

It is a super-2 number, since 2×40128930867600² (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 an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 3420753735 + ... + 3420765465.

Almost surely, 2^{40128930867600} is an apocalyptic number.

40128930867600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

40128930867600 is the 6334740-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40128930867600

40128930867600 is an abundant number, since it is smaller than the sum of its proper divisors (104431902061089).

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

40128930867600 is an frugal number, since it uses more digits than its factorization.

40128930867600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23498 (or 11741 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 40128930867600 in words is "forty trillion, one hundred twenty-eight billion, nine hundred thirty million, eight hundred sixty-seven thousand, six hundred".