40211055303440 has 320 divisors, whose sum is σ = 122927400714240. Its totient is φ = 11896196751360.

The previous prime is 40211055303227. The next prime is 40211055303449. The reversal of 40211055303440 is 4430355011204.

It is a junction number, because it is equal to n+sod(n) for n = 40211055303397 and 40211055303406.

It is not an unprimeable number, because it can be changed into a prime (40211055303449) 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, 2021669 + ... + 9192891.

It is an arithmetic number, because the mean of its divisors is an integer number (384148127232).

Almost surely, 2^{40211055303440} is an apocalyptic number.

40211055303440 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 40211055303440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61463700357120).

40211055303440 is an abundant number, since it is smaller than the sum of its proper divisors (82716345410800).

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

40211055303440 is a wasteful number, since it uses less digits than its factorization.

40211055303440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7171310 (or 7171304 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 40211055303440 in words is "forty trillion, two hundred eleven billion, fifty-five million, three hundred three thousand, four hundred forty".