10071253440 has 168 divisors, whose sum is σ = 35129528928. Its totient is φ = 2647787520.

The previous prime is 10071253417. The next prime is 10071253447. The reversal of 10071253440 is 4435217001.

10071253440 is a `hidden beast` number, since 100 + 71 + 2 + 53 + 440 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10071253447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179854 + ... + 229106.

Almost surely, 2^10071253440 is an apocalyptic number.

10071253440 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 10071253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17564764464).

10071253440 is an abundant number, since it is smaller than the sum of its proper divisors (25058275488).

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

10071253440 is a wasteful number, since it uses less digits than its factorization.

10071253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49347 (or 49334 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 10071253440 in words is "ten billion, seventy-one million, two hundred fifty-three thousand, four hundred forty".