40211235034320 has 480 divisors, whose sum is σ = 152862628308480. Its totient is φ = 8694613509120.

The previous prime is 40211235034309. The next prime is 40211235034391. The reversal of 40211235034320 is 2343053211204.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 152477775 + ... + 152741265.

It is an arithmetic number, because the mean of its divisors is an integer number (318463808976).

Almost surely, 2^{40211235034320} is an apocalyptic number.

40211235034320 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 40211235034320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76431314154240).

40211235034320 is an abundant number, since it is smaller than the sum of its proper divisors (112651393274160).

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

40211235034320 is a wasteful number, since it uses less digits than its factorization.

40211235034320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264223 (or 264210 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 40211235034320 its reverse (2343053211204), we get a palindrome (42554288245524).

The spelling of 40211235034320 in words is "forty trillion, two hundred eleven billion, two hundred thirty-five million, thirty-four thousand, three hundred twenty".