1220431450400 has 72 divisors (see below), whose sum is σ = 2980496462580. Its totient is φ = 487989365760.

The previous prime is 1220431450373. The next prime is 1220431450421. The reversal of 1220431450400 is 40541340221.

It can be written as a sum of positive squares in 6 ways, for example, as 73330473616 + 1147100976784 = 270796^2 + 1071028^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1220431450400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1856666 + ... + 2426534.

Almost surely, 2^{1220431450400} is an apocalyptic number.

1220431450400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1220431450400 is an abundant number, since it is smaller than the sum of its proper divisors (1760065012180).

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

1220431450400 is a wasteful number, since it uses less digits than its factorization.

1220431450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572566 (or 572553 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 1220431450400 its reverse (40541340221), we get a palindrome (1260972790621).

The spelling of 1220431450400 in words is "one trillion, two hundred twenty billion, four hundred thirty-one million, four hundred fifty thousand, four hundred".