10135207040 has 192 divisors, whose sum is σ = 28549065600. Its totient is φ = 3430103040.

The previous prime is 10135207037. The next prime is 10135207073. The reversal of 10135207040 is 4070253101.

It is a super-3 number, since 3×10135207040³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10135206997 and 10135207015.

It is a congruent number.

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, 2475395 + ... + 2479485.

It is an arithmetic number, because the mean of its divisors is an integer number (148693050).

Almost surely, 2^10135207040 is an apocalyptic number.

10135207040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10135207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14274532800).

10135207040 is an abundant number, since it is smaller than the sum of its proper divisors (18413858560).

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

10135207040 is an equidigital number, since it uses as much as digits as its factorization.

10135207040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4203 (or 4184 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The spelling of 10135207040 in words is "ten billion, one hundred thirty-five million, two hundred seven thousand, forty".