10214533030400 has 480 divisors, whose sum is σ = 27286595867520. Its totient is φ = 3777822720000.

The previous prime is 10214533030369. The next prime is 10214533030417. The reversal of 10214533030400 is 403033541201.

It is a self number, because there is not a number n which added to its sum of digits gives 10214533030400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1743984272 + ... + 1743990128.

It is an arithmetic number, because the mean of its divisors is an integer number (56847074724).

Almost surely, 2^{10214533030400} is an apocalyptic number.

10214533030400 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 10214533030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13643297933760).

10214533030400 is an abundant number, since it is smaller than the sum of its proper divisors (17072062837120).

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

10214533030400 is a wasteful number, since it uses less digits than its factorization.

10214533030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6076 (or 6055 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 10214533030400 its reverse (403033541201), we get a palindrome (10617566571601).

The spelling of 10214533030400 in words is "ten trillion, two hundred fourteen billion, five hundred thirty-three million, thirty thousand, four hundred".