10401490400 has 144 divisors (see below), whose sum is σ = 29093137920. Its totient is φ = 3557260800.

The previous prime is 10401490387. The next prime is 10401490403. The reversal of 10401490400 is 409410401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10401490403) 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, 2456285 + ... + 2460515.

It is an arithmetic number, because the mean of its divisors is an integer number (202035680).

Almost surely, 2^10401490400 is an apocalyptic number.

10401490400 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 10401490400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14546568960).

10401490400 is an abundant number, since it is smaller than the sum of its proper divisors (18691647520).

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

10401490400 is a wasteful number, since it uses less digits than its factorization.

10401490400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4697 (or 4684 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The spelling of 10401490400 in words is "ten billion, four hundred one million, four hundred ninety thousand, four hundred".