10411583361120 has 384 divisors, whose sum is σ = 38218004858880. Its totient is φ = 2642222499840.

The previous prime is 10411583361119. The next prime is 10411583361131. The reversal of 10411583361120 is 2116338511401.

10411583361120 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 1 + 5 + 8 + 33 + 611 + 2 + 0 = 666.

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 19307965 + ... + 19839875.

It is an arithmetic number, because the mean of its divisors is an integer number (99526054320).

Almost surely, 2^{10411583361120} is an apocalyptic number.

10411583361120 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 10411583361120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19109002429440).

10411583361120 is an abundant number, since it is smaller than the sum of its proper divisors (27806421497760).

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

10411583361120 is a wasteful number, since it uses less digits than its factorization.

10411583361120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532155 (or 532141 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 10411583361120 in words is "ten trillion, four hundred eleven billion, five hundred eighty-three million, three hundred sixty-one thousand, one hundred twenty".