40380115776 has 672 divisors, whose sum is σ = 152592340992. Its totient is φ = 9099509760.

The previous prime is 40380115757. The next prime is 40380115813. The reversal of 40380115776 is 67751108304.

40380115776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55543125 + ... + 55543851.

It is an arithmetic number, because the mean of its divisors is an integer number (227071936).

Almost surely, 2^40380115776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40380115776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76296170496).

40380115776 is an abundant number, since it is smaller than the sum of its proper divisors (112212225216).

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

40380115776 is a wasteful number, since it uses less digits than its factorization.

40380115776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 40380115776 in words is "forty billion, three hundred eighty million, one hundred fifteen thousand, seven hundred seventy-six".