40447268000 has 192 divisors, whose sum is σ = 102310659360. Its totient is φ = 15708160000.

The previous prime is 40447267981. The next prime is 40447268023. The reversal of 40447268000 is 86274404.

It can be written as a sum of positive squares in 16 ways, for example, as 1374629776 + 39072638224 = 37076^2 + 197668^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21411056 + ... + 21412944.

Almost surely, 2^40447268000 is an apocalyptic number.

40447268000 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 40447268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51155329680).

40447268000 is an abundant number, since it is smaller than the sum of its proper divisors (61863391360).

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

40447268000 is a wasteful number, since it uses less digits than its factorization.

40447268000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068 (or 2050 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 35.

The spelling of 40447268000 in words is "forty billion, four hundred forty-seven million, two hundred sixty-eight thousand".