1233021040400 has 120 divisors (see below), whose sum is σ = 2983507376640. Its totient is φ = 489687943680.

The previous prime is 1233021040367. The next prime is 1233021040403. The reversal of 1233021040400 is 40401203321.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1233021040403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89608721 + ... + 89622479.

It is an arithmetic number, because the mean of its divisors is an integer number (24862561472).

Almost surely, 2^{1233021040400} is an apocalyptic number.

1233021040400 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 1233021040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491753688320).

1233021040400 is an abundant number, since it is smaller than the sum of its proper divisors (1750486336240).

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

1233021040400 is a wasteful number, since it uses less digits than its factorization.

1233021040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15361 (or 15350 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1233021040400 its reverse (40401203321), we get a palindrome (1273422243721).

The spelling of 1233021040400 in words is "one trillion, two hundred thirty-three billion, twenty-one million, forty thousand, four hundred".