10216034679240 has 192 divisors, whose sum is σ = 35757963062640. Its totient is φ = 2514586705920.

The previous prime is 10216034679173. The next prime is 10216034679287. The reversal of 10216034679240 is 4297643061201.

10216034679240 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 60 + 3 + 467 + 92 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2628114353316 + 7587920325924 = 1621146^2 + 2754618^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116736300 + ... + 116823780.

Almost surely, 2^{10216034679240} is an apocalyptic number.

10216034679240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10216034679240 is an abundant number, since it is smaller than the sum of its proper divisors (25541928383400).

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

10216034679240 is a wasteful number, since it uses less digits than its factorization.

10216034679240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112464 (or 112457 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 10216034679240 in words is "ten trillion, two hundred sixteen billion, thirty-four million, six hundred seventy-nine thousand, two hundred forty".