1012033242400 has 288 divisors, whose sum is σ = 2680872163200. Its totient is φ = 371573637120.

The previous prime is 1012033242397. The next prime is 1012033242421. The reversal of 1012033242400 is 42423302101.

It is a super-2 number, since 2×1012033242400² (a number of 25 digits) contains 22 as substring.

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, 723396901 + ... + 723398299.

It is an arithmetic number, because the mean of its divisors is an integer number (9308583900).

Almost surely, 2^{1012033242400} is an apocalyptic number.

1012033242400 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 1012033242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340436081600).

1012033242400 is an abundant number, since it is smaller than the sum of its proper divisors (1668838920800).

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

1012033242400 is a wasteful number, since it uses less digits than its factorization.

1012033242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2716 (or 2703 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 1012033242400 its reverse (42423302101), we get a palindrome (1054456544501).

The spelling of 1012033242400 in words is "one trillion, twelve billion, thirty-three million, two hundred forty-two thousand, four hundred".