10241367400 has 144 divisors (see below), whose sum is σ = 27076977900. Its totient is φ = 3595468800.

The previous prime is 10241367347. The next prime is 10241367401. The reversal of 10241367400 is 476314201.

It can be written as a sum of positive squares in 6 ways, for example, as 1626186276 + 8615181124 = 40326^2 + 92818^2 .

It is not an unprimeable number, because it can be changed into a prime (10241367401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 694504 + ... + 709096.

Almost surely, 2^10241367400 is an apocalyptic number.

10241367400 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 10241367400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13538488950).

10241367400 is an abundant number, since it is smaller than the sum of its proper divisors (16835610500).

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

10241367400 is a wasteful number, since it uses less digits than its factorization.

10241367400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14660 (or 14640 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The spelling of 10241367400 in words is "ten billion, two hundred forty-one million, three hundred sixty-seven thousand, four hundred".