40240333323120 has 160 divisors (see below), whose sum is σ = 142620411709440. Its totient is φ = 9194264064000.

The previous prime is 40240333323101. The next prime is 40240333323149. The reversal of 40240333323120 is 2132333304204.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207256 + ... + 8973495.

It is an arithmetic number, because the mean of its divisors is an integer number (891377573184).

Almost surely, 2^{40240333323120} is an apocalyptic number.

40240333323120 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 40240333323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71310205854720).

40240333323120 is an abundant number, since it is smaller than the sum of its proper divisors (102380078386320).

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

40240333323120 is a wasteful number, since it uses less digits than its factorization.

40240333323120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9183383 (or 9183377 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 40240333323120 its reverse (2132333304204), we get a palindrome (42372666627324).

The spelling of 40240333323120 in words is "forty trillion, two hundred forty billion, three hundred thirty-three million, three hundred twenty-three thousand, one hundred twenty".