33421042400 has 144 divisors (see below), whose sum is σ = 85278541824. Its totient is φ = 12765857280.

The previous prime is 33421042399. The next prime is 33421042411. The reversal of 33421042400 is 424012433.

It is a super-2 number, since 2×33421042400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

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, 15142097 + ... + 15144303.

It is an arithmetic number, because the mean of its divisors is an integer number (592212096).

Almost surely, 2^33421042400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33421042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42639270912).

33421042400 is an abundant number, since it is smaller than the sum of its proper divisors (51857499424).

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

33421042400 is a wasteful number, since it uses less digits than its factorization.

33421042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3073 (or 3060 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 33421042400 its reverse (424012433), we get a palindrome (33845054833).

The spelling of 33421042400 in words is "thirty-three billion, four hundred twenty-one million, forty-two thousand, four hundred".