40959283456 has 243 divisors, whose sum is σ = 103731820101. Its totient is φ = 16087099392.

The previous prime is 40959283451. The next prime is 40959283471. The reversal of 40959283456 is 65438295904.

The square root of 40959283456 is 202384.

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

It can be written as a sum of positive squares in only one way, i.e., 6059065600 + 34900217856 = 77840^2 + 186816^2 .

It is a super-3 number, since 3×40959283456³ (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40959283397 and 40959283406.

It is not an unprimeable number, because it can be changed into a prime (40959283451) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 294671035 + ... + 294671173.

Almost surely, 2^40959283456 is an apocalyptic number.

40959283456 is the 202384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40959283456

40959283456 is an abundant number, since it is smaller than the sum of its proper divisors (62772536645).

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

40959283456 is an equidigital number, since it uses as much as digits as its factorization.

40959283456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 55.

It can be divided in two parts, 40959 and 283456, that added together give a triangular number (324415 = T₈₀₅).

The spelling of 40959283456 in words is "forty billion, nine hundred fifty-nine million, two hundred eighty-three thousand, four hundred fifty-six".