33053312400 has 120 divisors (see below), whose sum is σ = 106024654464. Its totient is φ = 8802240000.

The previous prime is 33053312389. The next prime is 33053312423. The reversal of 33053312400 is 421335033.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×33053312400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 882862 + ... + 919538.

Almost surely, 2^33053312400 is an apocalyptic number.

33053312400 is a gapful number since it is divisible by the number (30) 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 33053312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53012327232).

33053312400 is an abundant number, since it is smaller than the sum of its proper divisors (72971342064).

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

33053312400 is a wasteful number, since it uses less digits than its factorization.

33053312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37449 (or 37438 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

Adding to 33053312400 its reverse (421335033), we get a palindrome (33474647433).

The spelling of 33053312400 in words is "thirty-three billion, fifty-three million, three hundred twelve thousand, four hundred".