10121110453440 has 672 divisors, whose sum is σ = 41561820864000. Its totient is φ = 2311870740480.

The previous prime is 10121110453423. The next prime is 10121110453469. The reversal of 10121110453440 is 4435401112101.

It is a happy number.

10121110453440 is a `hidden beast` number, since 1 + 0 + 1 + 21 + 1 + 104 + 534 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 719281605 + ... + 719295675.

Almost surely, 2^{10121110453440} is an apocalyptic number.

10121110453440 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 10121110453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20780910432000).

10121110453440 is an abundant number, since it is smaller than the sum of its proper divisors (31440710410560).

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

10121110453440 is a wasteful number, since it uses less digits than its factorization.

10121110453440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15810 (or 15787 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 10121110453440 its reverse (4435401112101), we get a palindrome (14556511565541).

The spelling of 10121110453440 in words is "ten trillion, one hundred twenty-one billion, one hundred ten million, four hundred fifty-three thousand, four hundred forty".