10204907729140 has 12 divisors (see below), whose sum is σ = 21430306231236. Its totient is φ = 4081963091648.

The previous prime is 10204907729083. The next prime is 10204907729147. The reversal of 10204907729140 is 4192770940201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7761651128676 + 2443256600464 = 2785974^2 + 1563092^2 .

It is a super-2 number, since 2×10204907729140² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10204907729147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 255122693209 + ... + 255122693248.

It is an arithmetic number, because the mean of its divisors is an integer number (1785858852603).

Almost surely, 2^{10204907729140} is an apocalyptic number.

10204907729140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10204907729140 is an abundant number, since it is smaller than the sum of its proper divisors (11225398502096).

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

10204907729140 is a wasteful number, since it uses less digits than its factorization.

10204907729140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510245386466 (or 510245386464 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 46.

The spelling of 10204907729140 in words is "ten trillion, two hundred four billion, nine hundred seven million, seven hundred twenty-nine thousand, one hundred forty".