10071267840 has 400 divisors, whose sum is σ = 38207355912. Its totient is φ = 2526806016.

The previous prime is 10071267809. The next prime is 10071267859. The reversal of 10071267840 is 4876217001.

It can be written as a sum of positive squares in 4 ways, for example, as 9560146176 + 511121664 = 97776^2 + 22608^2 .

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 = 10071267795 and 10071267804.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3523692 + ... + 3526548.

Almost surely, 2^10071267840 is an apocalyptic number.

10071267840 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 10071267840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19103677956).

10071267840 is an abundant number, since it is smaller than the sum of its proper divisors (28136088072).

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

10071267840 is an equidigital number, since it uses as much as digits as its factorization.

10071267840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2909 (or 2884 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 10071267840 in words is "ten billion, seventy-one million, two hundred sixty-seven thousand, eight hundred forty".