10326040400 has 120 divisors (see below), whose sum is σ = 26857682040. Its totient is φ = 3792568320.

The previous prime is 10326040381. The next prime is 10326040421. The reversal of 10326040400 is 404062301.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 3692263696 + 6633776704 = 60764^2 + 81448^2 .

It is a super-2 number, since 2×10326040400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 998456 + ... + 1008744.

It is an arithmetic number, because the mean of its divisors is an integer number (223814017).

Almost surely, 2^10326040400 is an apocalyptic number.

10326040400 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 10326040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13428841020).

10326040400 is an abundant number, since it is smaller than the sum of its proper divisors (16531641640).

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

10326040400 is a wasteful number, since it uses less digits than its factorization.

10326040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10513 (or 10502 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The spelling of 10326040400 in words is "ten billion, three hundred twenty-six million, forty thousand, four hundred".