1200403142400 has 432 divisors, whose sum is σ = 4939119376128. Its totient is φ = 249434112000.

The previous prime is 1200403142371. The next prime is 1200403142431. The reversal of 1200403142400 is 42413040021.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1072420 + ... + 1884380.

It is an arithmetic number, because the mean of its divisors is an integer number (11433146704).

Almost surely, 2^{1200403142400} is an apocalyptic number.

1200403142400 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 1200403142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469559688064).

1200403142400 is an abundant number, since it is smaller than the sum of its proper divisors (3738716233728).

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

1200403142400 is a wasteful number, since it uses less digits than its factorization.

1200403142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812008 (or 811989 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 1200403142400 its reverse (42413040021), we get a palindrome (1242816182421).

The spelling of 1200403142400 in words is "one trillion, two hundred billion, four hundred three million, one hundred forty-two thousand, four hundred".