10001133043440 has 640 divisors, whose sum is σ = 39294167869440. Its totient is φ = 2044005580800.

The previous prime is 10001133043339. The next prime is 10001133043477. The reversal of 10001133043440 is 4434033110001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10001133043440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 275943720 + ... + 275979960.

It is an arithmetic number, because the mean of its divisors is an integer number (61397137296).

Almost surely, 2^{10001133043440} is an apocalyptic number.

10001133043440 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 10001133043440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19647083934720).

10001133043440 is an abundant number, since it is smaller than the sum of its proper divisors (29293034826000).

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

10001133043440 is a wasteful number, since it uses less digits than its factorization.

10001133043440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36521 (or 36515 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10001133043440 its reverse (4434033110001), we get a palindrome (14435166153441).

The spelling of 10001133043440 in words is "ten trillion, one billion, one hundred thirty-three million, forty-three thousand, four hundred forty".