40448035663920 has 320 divisors, whose sum is σ = 144381305433600. Its totient is φ = 10395700116480.

The previous prime is 40448035663901. The next prime is 40448035663967. The reversal of 40448035663920 is 2936653084404.

40448035663920 is a `hidden beast` number, since 4 + 0 + 4 + 48 + 0 + 3 + 566 + 39 + 2 + 0 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 34692855 + ... + 35839785.

It is an arithmetic number, because the mean of its divisors is an integer number (451191579480).

Almost surely, 2^{40448035663920} is an apocalyptic number.

40448035663920 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 40448035663920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72190652716800).

40448035663920 is an abundant number, since it is smaller than the sum of its proper divisors (103933269769680).

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

40448035663920 is a wasteful number, since it uses less digits than its factorization.

40448035663920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147545 (or 1147533 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 40448035663920 in words is "forty trillion, four hundred forty-eight billion, thirty-five million, six hundred sixty-three thousand, nine hundred twenty".