40805878014720 has 1152 divisors, whose sum is σ = 178334728857600. Its totient is φ = 8604077064192.

The previous prime is 40805878014709. The next prime is 40805878014749. The reversal of 40805878014720 is 2741087850804.

40805878014720 is a `hidden beast` number, since 40 + 8 + 0 + 58 + 7 + 80 + 1 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

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, 6550948566 + ... + 6550954794.

Almost surely, 2^{40805878014720} is an apocalyptic number.

40805878014720 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 40805878014720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89167364428800).

40805878014720 is an abundant number, since it is smaller than the sum of its proper divisors (137528850842880).

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

40805878014720 is a wasteful number, since it uses less digits than its factorization.

40805878014720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8362 (or 8342 counting only the distinct ones).

The product of its (nonzero) digits is 4014080, while the sum is 54.

The spelling of 40805878014720 in words is "forty trillion, eight hundred five billion, eight hundred seventy-eight million, fourteen thousand, seven hundred twenty".