10452062400 has 672 divisors, whose sum is σ = 40002439680. Its totient is φ = 2366177280.

The previous prime is 10452062399. The next prime is 10452062407. The reversal of 10452062400 is 426025401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10452062407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62587117 + ... + 62587283.

It is an arithmetic number, because the mean of its divisors is an integer number (59527440).

Almost surely, 2^10452062400 is an apocalyptic number.

10452062400 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 10452062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20001219840).

10452062400 is an abundant number, since it is smaller than the sum of its proper divisors (29550377280).

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

10452062400 is a wasteful number, since it uses less digits than its factorization.

10452062400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 10452062400 its reverse (426025401), we get a palindrome (10878087801).

The spelling of 10452062400 in words is "ten billion, four hundred fifty-two million, sixty-two thousand, four hundred".