10234405002400 has 72 divisors (see below), whose sum is σ = 25326998085564. Its totient is φ = 4037683046400.

The previous prime is 10234405002377. The next prime is 10234405002427. The reversal of 10234405002400 is 420050443201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 6315953080336 + 3918451922064 = 2513156^2 + 1979508^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87564931 + ... + 87681730.

Almost surely, 2^{10234405002400} is an apocalyptic number.

10234405002400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10234405002400 is an abundant number, since it is smaller than the sum of its proper divisors (15092593083164).

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

10234405002400 is a wasteful number, since it uses less digits than its factorization.

10234405002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175246754 (or 175246741 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 10234405002400 its reverse (420050443201), we get a palindrome (10654455445601).

The spelling of 10234405002400 in words is "ten trillion, two hundred thirty-four billion, four hundred five million, two thousand, four hundred".