1020224413032 has 64 divisors (see below), whose sum is σ = 2783050004160. Its totient is φ = 309090048000.

The previous prime is 1020224413009. The next prime is 1020224413049. The reversal of 1020224413032 is 2303144220201.

It is a happy number.

1020224413032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1020224412993 and 1020224413011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 763282 + ... + 1619582.

It is an arithmetic number, because the mean of its divisors is an integer number (43485156315).

Almost surely, 2^{1020224413032} is an apocalyptic number.

1020224413032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020224413032 is an abundant number, since it is smaller than the sum of its proper divisors (1762825591128).

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

1020224413032 is a wasteful number, since it uses less digits than its factorization.

1020224413032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860834 (or 860830 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1020224413032 its reverse (2303144220201), we get a palindrome (3323368633233).

The spelling of 1020224413032 in words is "one trillion, twenty billion, two hundred twenty-four million, four hundred thirteen thousand, thirty-two".