40279128469056 has 315 divisors, whose sum is σ = 120310310645217. Its totient is φ = 13324780039680.

The previous prime is 40279128468973. The next prime is 40279128469057. The reversal of 40279128469056 is 65096482197204.

The square root of 40279128469056 is 6346584.

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

40279128469056 is a `hidden beast` number, since 40 + 2 + 7 + 9 + 128 + 469 + 0 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 443843758656 + 39835284710400 = 666216^2 + 6311520^2 .

It is a super-2 number, since 2×40279128469056² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40279128468984 and 40279128469002.

It is not an unprimeable number, because it can be changed into a prime (40279128469057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 82708682445 + ... + 82708682931.

Almost surely, 2^{40279128469056} is an apocalyptic number.

40279128469056 is the 6346584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40279128469056

40279128469056 is an abundant number, since it is smaller than the sum of its proper divisors (80031182176161).

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

40279128469056 is an frugal number, since it uses more digits than its factorization.

40279128469056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 40279128469056 in words is "forty trillion, two hundred seventy-nine billion, one hundred twenty-eight million, four hundred sixty-nine thousand, fifty-six".