10115223661440 has 192 divisors, whose sum is σ = 35143424119440. Its totient is φ = 2680844304384.

The previous prime is 10115223661429. The next prime is 10115223661451. The reversal of 10115223661440 is 4416632251101.

10115223661440 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 5 + 2 + 2 + 36 + 614 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10115223661429) and next prime (10115223661451).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×10115223661440³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10115223661395 and 10115223661404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4447977 + ... + 6325736.

Almost surely, 2^{10115223661440} is an apocalyptic number.

10115223661440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10115223661440 is an abundant number, since it is smaller than the sum of its proper divisors (25028200458000).

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

10115223661440 is a wasteful number, since it uses less digits than its factorization.

10115223661440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10773901 (or 10773886 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10115223661440 in words is "ten trillion, one hundred fifteen billion, two hundred twenty-three million, six hundred sixty-one thousand, four hundred forty".