10206621464040 has 96 divisors (see below), whose sum is σ = 33185963683080. Its totient is φ = 2720580581376.

The previous prime is 10206621463993. The next prime is 10206621464051. The reversal of 10206621464040 is 4046412660201.

10206621464040 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 6 + 6 + 2 + 1 + 4 + 640 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6094153825956 + 4112467638084 = 2468634^2 + 2027922^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10206621463986 and 10206621464004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5344549 + ... + 6998388.

Almost surely, 2^{10206621464040} is an apocalyptic number.

10206621464040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10206621464040 is an abundant number, since it is smaller than the sum of its proper divisors (22979342219040).

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

10206621464040 is a wasteful number, since it uses less digits than its factorization.

10206621464040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12345251 (or 12345244 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 10206621464040 in words is "ten trillion, two hundred six billion, six hundred twenty-one million, four hundred sixty-four thousand, forty".