1202024442400 has 144 divisors (see below), whose sum is σ = 3008994912000. Its totient is φ = 468641295360.

The previous prime is 1202024442331. The next prime is 1202024442457. The reversal of 1202024442400 is 42444202021.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16441126 + ... + 16514074.

It is an arithmetic number, because the mean of its divisors is an integer number (20895798000).

Almost surely, 2^{1202024442400} is an apocalyptic number.

1202024442400 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 1202024442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504497456000).

1202024442400 is an abundant number, since it is smaller than the sum of its proper divisors (1806970469600).

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

1202024442400 is a wasteful number, since it uses less digits than its factorization.

1202024442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73491 (or 73478 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 1202024442400 its reverse (42444202021), we get a palindrome (1244468644421).

The spelling of 1202024442400 in words is "one trillion, two hundred two billion, twenty-four million, four hundred forty-two thousand, four hundred".