10440121551135 has 128 divisors (see below), whose sum is σ = 17343908904960. Its totient is φ = 5359355559936.

The previous prime is 10440121551133. The next prime is 10440121551157. The reversal of 10440121551135 is 53115512104401.

It is not a de Polignac number, because 10440121551135 - 2¹ = 10440121551133 is a prime.

It is a super-2 number, since 2×10440121551135² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10440121551096 and 10440121551105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10440121551133) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12904970611 + ... + 12904971419.

It is an arithmetic number, because the mean of its divisors is an integer number (135499288320).

Almost surely, 2^{10440121551135} is an apocalyptic number.

10440121551135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10440121551135 is a deficient number, since it is larger than the sum of its proper divisors (6903787353825).

10440121551135 is a wasteful number, since it uses less digits than its factorization.

10440121551135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1857.

The product of its (nonzero) digits is 12000, while the sum is 33.

Adding to 10440121551135 its reverse (53115512104401), we get a palindrome (63555633655536).

The spelling of 10440121551135 in words is "ten trillion, four hundred forty billion, one hundred twenty-one million, five hundred fifty-one thousand, one hundred thirty-five".