10227629430 has 224 divisors, whose sum is σ = 28768739328. Its totient is φ = 2613902400.

The previous prime is 10227629413. The next prime is 10227629519. The reversal of 10227629430 is 3492672201.

10227629430 is a `hidden beast` number, since 1 + 0 + 2 + 27 + 629 + 4 + 3 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 37740195 + ... + 37740465.

It is an arithmetic number, because the mean of its divisors is an integer number (128431872).

Almost surely, 2^10227629430 is an apocalyptic number.

10227629430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10227629430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14384369664).

10227629430 is an abundant number, since it is smaller than the sum of its proper divisors (18541109898).

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

10227629430 is a wasteful number, since it uses less digits than its factorization.

10227629430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 10227629430 in words is "ten billion, two hundred twenty-seven million, six hundred twenty-nine thousand, four hundred thirty".