40488217692160 has 192 divisors, whose sum is σ = 111071774136960. Its totient is φ = 13875987087360.

The previous prime is 40488217692121. The next prime is 40488217692217. The reversal of 40488217692160 is 6129671288404.

It is a junction number, because it is equal to n+sod(n) for n = 40488217692095 and 40488217692104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176720080 + ... + 176949040.

It is an arithmetic number, because the mean of its divisors is an integer number (578498823630).

Almost surely, 2^{40488217692160} is an apocalyptic number.

40488217692160 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 40488217692160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55535887068480).

40488217692160 is an abundant number, since it is smaller than the sum of its proper divisors (70583556444800).

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

40488217692160 is a wasteful number, since it uses less digits than its factorization.

40488217692160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231462 (or 231442 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 58.

The spelling of 40488217692160 in words is "forty trillion, four hundred eighty-eight billion, two hundred seventeen million, six hundred ninety-two thousand, one hundred sixty".