10333011140400 has 960 divisors, whose sum is σ = 37909953607680. Its totient is φ = 2384905420800.

The previous prime is 10333011140329. The next prime is 10333011140407. The reversal of 10333011140400 is 404111033301.

It is a super-2 number, since 2×10333011140400² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10333011140407) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15823906474 + ... + 15823907126.

It is an arithmetic number, because the mean of its divisors is an integer number (39489535008).

Almost surely, 2^{10333011140400} is an apocalyptic number.

10333011140400 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 10333011140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18954976803840).

10333011140400 is an abundant number, since it is smaller than the sum of its proper divisors (27576942467280).

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

10333011140400 is a wasteful number, since it uses less digits than its factorization.

10333011140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10333011140400 its reverse (404111033301), we get a palindrome (10737122173701).

The spelling of 10333011140400 in words is "ten trillion, three hundred thirty-three billion, eleven million, one hundred forty thousand, four hundred".