10434403402400 has 144 divisors (see below), whose sum is σ = 25635003254784. Its totient is φ = 4147226542080.

The previous prime is 10434403402391. The next prime is 10434403402411. The reversal of 10434403402400 is 420430443401.

It is a happy 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, 1101484064 + ... + 1101493536.

It is an arithmetic number, because the mean of its divisors is an integer number (178020855936).

Almost surely, 2^{10434403402400} is an apocalyptic number.

10434403402400 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 10434403402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12817501627392).

10434403402400 is an abundant number, since it is smaller than the sum of its proper divisors (15200599852384).

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

10434403402400 is a wasteful number, since it uses less digits than its factorization.

10434403402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18103 (or 18090 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 10434403402400 its reverse (420430443401), we get a palindrome (10854833845801).

The spelling of 10434403402400 in words is "ten trillion, four hundred thirty-four billion, four hundred three million, four hundred two thousand, four hundred".