40253326160 has 80 divisors (see below), whose sum is σ = 95421173904. Its totient is φ = 15786541056.

The previous prime is 40253326129. The next prime is 40253326207. The reversal of 40253326160 is 6162335204.

It can be written as a sum of positive squares in 8 ways, for example, as 33825856 + 40219500304 = 5816^2 + 200548^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8956874 + ... + 8961366.

Almost surely, 2^40253326160 is an apocalyptic number.

40253326160 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 40253326160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47710586952).

40253326160 is an abundant number, since it is smaller than the sum of its proper divisors (55167847744).

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

40253326160 is a wasteful number, since it uses less digits than its factorization.

40253326160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6672 (or 6666 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The spelling of 40253326160 in words is "forty billion, two hundred fifty-three million, three hundred twenty-six thousand, one hundred sixty".