40878778682880 has 720 divisors, whose sum is σ = 151311983359680. Its totient is φ = 10196381564928.

The previous prime is 40878778682779. The next prime is 40878778682881. The reversal of 40878778682880 is 8828687787804.

40878778682880 is a `hidden beast` number, since 408 + 7 + 8 + 7 + 78 + 68 + 2 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a self number, because there is not a number n which added to its sum of digits gives 40878778682880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40878778682881) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 657046654 + ... + 657108866.

It is an arithmetic number, because the mean of its divisors is an integer number (210155532444).

Almost surely, 2^{40878778682880} is an apocalyptic number.

40878778682880 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 40878778682880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75655991679840).

40878778682880 is an abundant number, since it is smaller than the sum of its proper divisors (110433204676800).

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

40878778682880 is a wasteful number, since it uses less digits than its factorization.

40878778682880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62359 (or 62321 counting only the distinct ones).

The product of its (nonzero) digits is 4315938816, while the sum is 81.

The spelling of 40878778682880 in words is "forty trillion, eight hundred seventy-eight billion, seven hundred seventy-eight million, six hundred eighty-two thousand, eight hundred eighty".