40448187920448 has 168 divisors, whose sum is σ = 144545364350400. Its totient is φ = 10506022824960.

The previous prime is 40448187920383. The next prime is 40448187920467. The reversal of 40448187920448 is 84402978184404.

40448187920448 is a `hidden beast` number, since 4 + 0 + 4 + 4 + 8 + 187 + 9 + 2 + 0 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 455946223 + ... + 456034926.

Almost surely, 2^{40448187920448} is an apocalyptic number.

40448187920448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40448187920448 is an abundant number, since it is smaller than the sum of its proper divisors (104097176429952).

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

40448187920448 is a wasteful number, since it uses less digits than its factorization.

40448187920448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911981185 (or 911981172 counting only the distinct ones).

The product of its (nonzero) digits is 66060288, while the sum is 63.

The spelling of 40448187920448 in words is "forty trillion, four hundred forty-eight billion, one hundred eighty-seven million, nine hundred twenty thousand, four hundred forty-eight".