40040881219488 has 384 divisors, whose sum is σ = 109328892825600. Its totient is φ = 12824865996800.

The previous prime is 40040881219483. The next prime is 40040881219489. The reversal of 40040881219488 is 88491218804004.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (40040881219483) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23266054468 + ... + 23266056188.

It is an arithmetic number, because the mean of its divisors is an integer number (284710658400).

Almost surely, 2^{40040881219488} is an apocalyptic number.

40040881219488 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 40040881219488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54664446412800).

40040881219488 is an abundant number, since it is smaller than the sum of its proper divisors (69288011606112).

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

40040881219488 is a wasteful number, since it uses less digits than its factorization.

40040881219488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2336 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 57.

The spelling of 40040881219488 in words is "forty trillion, forty billion, eight hundred eighty-one million, two hundred nineteen thousand, four hundred eighty-eight".