40847269008000 has 1024 divisors, whose sum is σ = 169005420380160. Its totient is φ = 8496875520000.

The previous prime is 40847269007947. The next prime is 40847269008041. The reversal of 40847269008000 is 80096274804.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 310062145 + ... + 310193855.

It is an arithmetic number, because the mean of its divisors is an integer number (165044355840).

Almost surely, 2^{40847269008000} is an apocalyptic number.

40847269008000 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 40847269008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84502710190080).

40847269008000 is an abundant number, since it is smaller than the sum of its proper divisors (128158151372160).

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

40847269008000 is a wasteful number, since it uses less digits than its factorization.

40847269008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131834 (or 131812 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 40847269008000 in words is "forty trillion, eight hundred forty-seven billion, two hundred sixty-nine million, eight thousand".