10418364961920 has 512 divisors, whose sum is σ = 39082036032000. Its totient is φ = 2613924200448.

The previous prime is 10418364961859. The next prime is 10418364961957. The reversal of 10418364961920 is 2916946381401.

10418364961920 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 8 + 364 + 96 + 192 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1609507804 + ... + 1609514276.

It is an arithmetic number, because the mean of its divisors is an integer number (76332101625).

Almost surely, 2^{10418364961920} is an apocalyptic number.

10418364961920 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 10418364961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19541018016000).

10418364961920 is an abundant number, since it is smaller than the sum of its proper divisors (28663671070080).

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

10418364961920 is a wasteful number, since it uses less digits than its factorization.

10418364961920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11997 (or 11979 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 10418364961920 in words is "ten trillion, four hundred eighteen billion, three hundred sixty-four million, nine hundred sixty-one thousand, nine hundred twenty".