10406435615320 has 16 divisors (see below), whose sum is σ = 23414480134560. Its totient is φ = 4162574246112.

The previous prime is 10406435615239. The next prime is 10406435615363. The reversal of 10406435615320 is 2351653460401.

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 260160890383 = 10406435615320 / (1 + 0 + 4 + 0 + 6 + 4 + 3 + 5 + 6 + 1 + 5 + 3 + 2 + 0).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 130080445152 + ... + 130080445231.

It is an arithmetic number, because the mean of its divisors is an integer number (1463405008410).

Almost surely, 2^{10406435615320} is an apocalyptic number.

10406435615320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10406435615320 is an abundant number, since it is smaller than the sum of its proper divisors (13008044519240).

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

10406435615320 is a wasteful number, since it uses less digits than its factorization.

10406435615320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260160890394 (or 260160890390 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The spelling of 10406435615320 in words is "ten trillion, four hundred six billion, four hundred thirty-five million, six hundred fifteen thousand, three hundred twenty".