10406907006300 has 432 divisors, whose sum is σ = 39622987855360. Its totient is φ = 2231644193280.

The previous prime is 10406907006263. The next prime is 10406907006343. The reversal of 10406907006300 is 360070960401.

10406907006300 is a `hidden beast` number, since 10 + 4 + 0 + 6 + 9 + 0 + 7 + 0 + 0 + 630 + 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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11907054 + ... + 12751146.

Almost surely, 2^{10406907006300} is an apocalyptic number.

10406907006300 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 10406907006300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19811493927680).

10406907006300 is an abundant number, since it is smaller than the sum of its proper divisors (29216080849060).

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

10406907006300 is a wasteful number, since it uses less digits than its factorization.

10406907006300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844242 (or 844232 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

Adding to 10406907006300 its reverse (360070960401), we get a palindrome (10766977966701).

The spelling of 10406907006300 in words is "ten trillion, four hundred six billion, nine hundred seven million, six thousand, three hundred".