40681879653888 has 1920 divisors, whose sum is σ = 141419378580480. Its totient is φ = 11133517824000.

The previous prime is 40681879653787. The next prime is 40681879653893. The reversal of 40681879653888 is 88835697818604.

40681879653888 is a `hidden beast` number, since 4 + 0 + 6 + 8 + 1 + 8 + 79 + 6 + 538 + 8 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 310548699583 + ... + 310548699713.

It is an arithmetic number, because the mean of its divisors is an integer number (73655926344).

Almost surely, 2^{40681879653888} is an apocalyptic number.

40681879653888 is a gapful number since it is divisible by the number (48) 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 40681879653888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70709689290240).

40681879653888 is an abundant number, since it is smaller than the sum of its proper divisors (100737498926592).

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

40681879653888 is a wasteful number, since it uses less digits than its factorization.

40681879653888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 4459069440, while the sum is 81.

The spelling of 40681879653888 in words is "forty trillion, six hundred eighty-one billion, eight hundred seventy-nine million, six hundred fifty-three thousand, eight hundred eighty-eight".