10418164243200 has 972 divisors, whose sum is σ = 43414930152048. Its totient is φ = 2376544665600.

The previous prime is 10418164243189. The next prime is 10418164243219. The reversal of 10418164243200 is 234246181401.

10418164243200 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 8 + 1 + 642 + 4 + 3 + 2 + 0 + 0 = 666.

10418164243200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10418164243200³ (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 an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1526914989 + ... + 1526921811.

Almost surely, 2^{10418164243200} is an apocalyptic number.

10418164243200 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 10418164243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21707465076024).

10418164243200 is an abundant number, since it is smaller than the sum of its proper divisors (32996765908848).

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

10418164243200 is a wasteful number, since it uses less digits than its factorization.

10418164243200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7410 (or 7381 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 10418164243200 in words is "ten trillion, four hundred eighteen billion, one hundred sixty-four million, two hundred forty-three thousand, two hundred".