40778079142080 has 448 divisors, whose sum is σ = 148599473476608. Its totient is φ = 9280891699200.

The previous prime is 40778079142043. The next prime is 40778079142121. The reversal of 40778079142080 is 8024197087704.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 40778079142080.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1611705430 + ... + 1611730730.

It is an arithmetic number, because the mean of its divisors is an integer number (331695253296).

Almost surely, 2^{40778079142080} is an apocalyptic number.

40778079142080 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 40778079142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74299736738304).

40778079142080 is an abundant number, since it is smaller than the sum of its proper divisors (107821394334528).

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

40778079142080 is a wasteful number, since it uses less digits than its factorization.

40778079142080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26344 (or 26334 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 57.

The spelling of 40778079142080 in words is "forty trillion, seven hundred seventy-eight billion, seventy-nine million, one hundred forty-two thousand, eighty".