40286711448000 has 336 divisors, whose sum is σ = 149449780413024. Its totient is φ = 10743122534400.

The previous prime is 40286711447977. The next prime is 40286711448031. The reversal of 40286711448000 is 84411768204.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8417809 + ... + 12305808.

It is an arithmetic number, because the mean of its divisors is an integer number (444791013134).

Almost surely, 2^{40286711448000} is an apocalyptic number.

40286711448000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40286711448000 is an abundant number, since it is smaller than the sum of its proper divisors (109163068965024).

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

40286711448000 is an equidigital number, since it uses as much as digits as its factorization.

40286711448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20723659 (or 20723627 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 40286711448000 in words is "forty trillion, two hundred eighty-six billion, seven hundred eleven million, four hundred forty-eight thousand".