40951582272 has 84 divisors (see below), whose sum is σ = 117576618796. Its totient is φ = 13627699200.

The previous prime is 40951582247. The next prime is 40951582291. The reversal of 40951582272 is 27228515904.

40951582272 is a `hidden beast` number, since 40 + 9 + 5 + 1 + 582 + 27 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15241383936 + 25710198336 = 123456^2 + 160344^2 .

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, 287028 + ... + 405324.

Almost surely, 2^40951582272 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 40951582272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58788309398).

40951582272 is an abundant number, since it is smaller than the sum of its proper divisors (76625036524).

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

40951582272 is a wasteful number, since it uses less digits than its factorization.

40951582272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118916 (or 118903 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 40951582272 in words is "forty billion, nine hundred fifty-one million, five hundred eighty-two thousand, two hundred seventy-two".