40254646160 has 80 divisors (see below), whose sum is σ = 94277684592. Its totient is φ = 15984230400.

The previous prime is 40254646147. The next prime is 40254646177. The reversal of 40254646160 is 6164645204.

It can be written as a sum of positive squares in 8 ways, for example, as 9800208016 + 30454438144 = 98996^2 + 174512^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9279512 + ... + 9283848.

Almost surely, 2^40254646160 is an apocalyptic number.

40254646160 is a gapful number since it is divisible by the number (40) 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 40254646160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47138842296).

40254646160 is an abundant number, since it is smaller than the sum of its proper divisors (54023038432).

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

40254646160 is a wasteful number, since it uses less digits than its factorization.

40254646160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5172 (or 5166 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The spelling of 40254646160 in words is "forty billion, two hundred fifty-four million, six hundred forty-six thousand, one hundred sixty".