40847362670400 has 672 divisors, whose sum is σ = 157483128434688. Its totient is φ = 9138298675200.

The previous prime is 40847362670383. The next prime is 40847362670479. The reversal of 40847362670400 is 407626374804.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 5221440889 + ... + 5221448711.

It is an arithmetic number, because the mean of its divisors is an integer number (234349893504).

Almost surely, 2^{40847362670400} is an apocalyptic number.

40847362670400 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 40847362670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78741564217344).

40847362670400 is an abundant number, since it is smaller than the sum of its proper divisors (116635765764288).

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

40847362670400 is a wasteful number, since it uses less digits than its factorization.

40847362670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15479 (or 15464 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 51.

The spelling of 40847362670400 in words is "forty trillion, eight hundred forty-seven billion, three hundred sixty-two million, six hundred seventy thousand, four hundred".