40077476846680 has 512 divisors, whose sum is σ = 118294827356160. Its totient is φ = 11858523586560.

The previous prime is 40077476846669. The next prime is 40077476846681. The reversal of 40077476846680 is 8664867477004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40077476846681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5901554085 + ... + 5901560875.

It is an arithmetic number, because the mean of its divisors is an integer number (231044584680).

Almost surely, 2^{40077476846680} is an apocalyptic number.

40077476846680 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 40077476846680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59147413678080).

40077476846680 is an abundant number, since it is smaller than the sum of its proper divisors (78217350509480).

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

40077476846680 is a wasteful number, since it uses less digits than its factorization.

40077476846680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7459 (or 7455 counting only the distinct ones).

The product of its (nonzero) digits is 303464448, while the sum is 67.

The spelling of 40077476846680 in words is "forty trillion, seventy-seven billion, four hundred seventy-six million, eight hundred forty-six thousand, six hundred eighty".