10214246400 has 144 divisors (see below), whose sum is σ = 33767370000. Its totient is φ = 2723758080.

The previous prime is 10214246369. The next prime is 10214246407. The reversal of 10214246400 is 464241201.

It is a happy number.

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 (10214246407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120351 + ... + 186849.

It is an arithmetic number, because the mean of its divisors is an integer number (234495625).

Almost surely, 2^10214246400 is an apocalyptic number.

10214246400 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 10214246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16883685000).

10214246400 is an abundant number, since it is smaller than the sum of its proper divisors (23553123600).

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

10214246400 is an equidigital number, since it uses as much as digits as its factorization.

10214246400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66534 (or 66509 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10214246400 its reverse (464241201), we get a palindrome (10678487601).

The spelling of 10214246400 in words is "ten billion, two hundred fourteen million, two hundred forty-six thousand, four hundred".