40143668407440 has 640 divisors, whose sum is σ = 143019326177280. Its totient is φ = 9239712768000.

The previous prime is 40143668407421. The next prime is 40143668407457. The reversal of 40143668407440 is 4470486634104.

It is a super-2 number, since 2×40143668407440² (a number of 28 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 572537985 + ... + 572608095.

It is an arithmetic number, because the mean of its divisors is an integer number (223467697152).

Almost surely, 2^{40143668407440} is an apocalyptic number.

40143668407440 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 40143668407440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71509663088640).

40143668407440 is an abundant number, since it is smaller than the sum of its proper divisors (102875657769840).

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

40143668407440 is a wasteful number, since it uses less digits than its factorization.

40143668407440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70343 (or 70337 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 51.

The spelling of 40143668407440 in words is "forty trillion, one hundred forty-three billion, six hundred sixty-eight million, four hundred seven thousand, four hundred forty".