1011342022400 has 216 divisors, whose sum is σ = 2662219450800. Its totient is φ = 379053998080.

The previous prime is 1011342022351. The next prime is 1011342022421. The reversal of 1011342022400 is 42202431101.

1011342022400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 24677126 + ... + 24718074.

It is an arithmetic number, because the mean of its divisors is an integer number (12325090050).

Almost surely, 2^{1011342022400} is an apocalyptic number.

1011342022400 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 1011342022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331109725400).

1011342022400 is an abundant number, since it is smaller than the sum of its proper divisors (1650877428400).

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

1011342022400 is a wasteful number, since it uses less digits than its factorization.

1011342022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41219 (or 41200 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1011342022400 its reverse (42202431101), we get a palindrome (1053544453501).

The spelling of 1011342022400 in words is "one trillion, eleven billion, three hundred forty-two million, twenty-two thousand, four hundred".