10227409920 has 880 divisors, whose sum is σ = 45273220608. Its totient is φ = 2149908480.

The previous prime is 10227409909. The next prime is 10227409987. The reversal of 10227409920 is 2990472201.

10227409920 is a `hidden beast` number, since 1 + 0 + 227 + 409 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37739385 + ... + 37739655.

Almost surely, 2^10227409920 is an apocalyptic number.

10227409920 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 10227409920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22636610304).

10227409920 is an abundant number, since it is smaller than the sum of its proper divisors (35045810688).

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

10227409920 is a wasteful number, since it uses less digits than its factorization.

10227409920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 10227409920 in words is "ten billion, two hundred twenty-seven million, four hundred nine thousand, nine hundred twenty".