40118988349440 has 5376 divisors, whose sum is σ = 202797990420480. Its totient is φ = 7063165992960.

The previous prime is 40118988349423. The next prime is 40118988349501. The reversal of 40118988349440 is 4494388981104.

40118988349440 is a `hidden beast` number, since 4 + 0 + 1 + 1 + 89 + 88 + 34 + 9 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 246128762799 + ... + 246128762961.

It is an arithmetic number, because the mean of its divisors is an integer number (37722840480).

Almost surely, 2^{40118988349440} is an apocalyptic number.

40118988349440 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 40118988349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101398995210240).

40118988349440 is an abundant number, since it is smaller than the sum of its proper divisors (162679002071040).

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

40118988349440 is a wasteful number, since it uses less digits than its factorization.

40118988349440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 40118988349440 in words is "forty trillion, one hundred eighteen billion, nine hundred eighty-eight million, three hundred forty-nine thousand, four hundred forty".