10406733405120 has 224 divisors, whose sum is σ = 39536692722240. Its totient is φ = 2561657425920.

The previous prime is 10406733405113. The next prime is 10406733405137. The reversal of 10406733405120 is 2150433760401.

10406733405120 is a `hidden beast` number, since 1 + 0 + 40 + 6 + 73 + 34 + 0 + 512 + 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 31 ways as a sum of consecutive naturals, for example, 46213951 + ... + 46438590.

It is an arithmetic number, because the mean of its divisors is an integer number (176503092510).

Almost surely, 2^{10406733405120} is an apocalyptic number.

10406733405120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10406733405120 is an abundant number, since it is smaller than the sum of its proper divisors (29129959317120).

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

10406733405120 is a wasteful number, since it uses less digits than its factorization.

10406733405120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92652580 (or 92652564 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 10406733405120 in words is "ten trillion, four hundred six billion, seven hundred thirty-three million, four hundred five thousand, one hundred twenty".