40663448658000 has 640 divisors, whose sum is σ = 168002330496000. Its totient is φ = 9209222553600.

The previous prime is 40663448657941. The next prime is 40663448658031. The reversal of 40663448658000 is 85684436604.

40663448658000 is a `hidden beast` number, since 4 + 0 + 6 + 63 + 448 + 65 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 40708536 + ... + 41695464.

It is an arithmetic number, because the mean of its divisors is an integer number (262503641400).

Almost surely, 2^{40663448658000} is an apocalyptic number.

40663448658000 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 40663448658000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84001165248000).

40663448658000 is an abundant number, since it is smaller than the sum of its proper divisors (127338881838000).

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

40663448658000 is a wasteful number, since it uses less digits than its factorization.

40663448658000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987077 (or 987055 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 40663448658000 in words is "forty trillion, six hundred sixty-three billion, four hundred forty-eight million, six hundred fifty-eight thousand".