10413454254120 has 384 divisors, whose sum is σ = 34635300336000. Its totient is φ = 2712709232640.

The previous prime is 10413454254103. The next prime is 10413454254143. The reversal of 10413454254120 is 2145245431401.

10413454254120 is a `hidden beast` number, since 1 + 0 + 4 + 13 + 45 + 42 + 541 + 20 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5595621990 + ... + 5595623850.

It is an arithmetic number, because the mean of its divisors is an integer number (90196094625).

Almost surely, 2^{10413454254120} is an apocalyptic number.

10413454254120 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 10413454254120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17317650168000).

10413454254120 is an abundant number, since it is smaller than the sum of its proper divisors (24221846081880).

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

10413454254120 is a wasteful number, since it uses less digits than its factorization.

10413454254120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3753 (or 3746 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 10413454254120 its reverse (2145245431401), we get a palindrome (12558699685521).

The spelling of 10413454254120 in words is "ten trillion, four hundred thirteen billion, four hundred fifty-four million, two hundred fifty-four thousand, one hundred twenty".