10332404014140 has 288 divisors, whose sum is σ = 35758206993600. Its totient is φ = 2392395522048.

The previous prime is 10332404014129. The next prime is 10332404014181. The reversal of 10332404014140 is 4141040423301.

10332404014140 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 240 + 4 + 0 + 1 + 414 + 0 = 666.

10332404014140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10332404014140² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71014186 + ... + 71159534.

It is an arithmetic number, because the mean of its divisors is an integer number (124160440950).

Almost surely, 2^{10332404014140} is an apocalyptic number.

10332404014140 is a gapful number since it is divisible by the number (10) 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 10332404014140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17879103496800).

10332404014140 is an abundant number, since it is smaller than the sum of its proper divisors (25425802979460).

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

10332404014140 is a wasteful number, since it uses less digits than its factorization.

10332404014140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147181 (or 147176 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10332404014140 its reverse (4141040423301), we get a palindrome (14473444437441).

The spelling of 10332404014140 in words is "ten trillion, three hundred thirty-two billion, four hundred four million, fourteen thousand, one hundred forty".