10220043456 has 560 divisors, whose sum is σ = 37195516160. Its totient is φ = 2720977920.

The previous prime is 10220043419. The next prime is 10220043499. The reversal of 10220043456 is 65434002201.

10220043456 is a `hidden beast` number, since 1 + 0 + 2 + 200 + 4 + 3 + 456 = 666.

It is a super-3 number, since 3×10220043456³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 167541666 + ... + 167541726.

Almost surely, 2^10220043456 is an apocalyptic number.

10220043456 is a gapful number since it is divisible by the number (16) 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 10220043456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18597758080).

10220043456 is an abundant number, since it is smaller than the sum of its proper divisors (26975472704).

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

10220043456 is an frugal number, since it uses more digits than its factorization.

10220043456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 10220043456 its reverse (65434002201), we get a palindrome (75654045657).

The spelling of 10220043456 in words is "ten billion, two hundred twenty million, forty-three thousand, four hundred fifty-six".