10401652430208 has 768 divisors, whose sum is σ = 34570029312000. Its totient is φ = 3074239733760.

The previous prime is 10401652430189. The next prime is 10401652430231. The reversal of 10401652430208 is 80203425610401.

It is a happy number.

10401652430208 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 16 + 5 + 2 + 430 + 208 = 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2516729710 + ... + 2516733842.

It is an arithmetic number, because the mean of its divisors is an integer number (45013059000).

Almost surely, 2^{10401652430208} is an apocalyptic number.

10401652430208 is a gapful number since it is divisible by the number (18) 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 10401652430208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17285014656000).

10401652430208 is an abundant number, since it is smaller than the sum of its proper divisors (24168376881792).

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

10401652430208 is a wasteful number, since it uses less digits than its factorization.

10401652430208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4352 (or 4321 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 10401652430208 in words is "ten trillion, four hundred one billion, six hundred fifty-two million, four hundred thirty thousand, two hundred eight".