10430412504400 has 120 divisors (see below), whose sum is σ = 28645299244224. Its totient is φ = 3575346432000.

The previous prime is 10430412504377. The next prime is 10430412504433. The reversal of 10430412504400 is 440521403401.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 12252600 + ... + 13076200.

Almost surely, 2^{10430412504400} is an apocalyptic number.

10430412504400 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 10430412504400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14322649622112).

10430412504400 is an abundant number, since it is smaller than the sum of its proper divisors (18214886739824).

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

10430412504400 is a wasteful number, since it uses less digits than its factorization.

10430412504400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828149 (or 828138 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 10430412504400 its reverse (440521403401), we get a palindrome (10870933907801).

The spelling of 10430412504400 in words is "ten trillion, four hundred thirty billion, four hundred twelve million, five hundred four thousand, four hundred".