10211434400 has 36 divisors (see below), whose sum is σ = 24928666182. Its totient is φ = 4084573440.

The previous prime is 10211434351. The next prime is 10211434439. The reversal of 10211434400 is 443411201.

It can be written as a sum of positive squares in 3 ways, for example, as 9814468624 + 396965776 = 99068^2 + 19924^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6381347 + ... + 6382946.

Almost surely, 2^10211434400 is an apocalyptic number.

10211434400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211434400 is an abundant number, since it is smaller than the sum of its proper divisors (14717231782).

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

10211434400 is a wasteful number, since it uses less digits than its factorization.

10211434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12764313 (or 12764300 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10211434400 its reverse (443411201), we get a palindrome (10654845601).

The spelling of 10211434400 in words is "ten billion, two hundred eleven million, four hundred thirty-four thousand, four hundred".