33400553472 has 570 divisors, whose sum is σ = 118122909674. Its totient is φ = 9342812160.

The previous prime is 33400553443. The next prime is 33400553513. The reversal of 33400553472 is 27435500433.

33400553472 is a `hidden beast` number, since 3 + 34 + 0 + 0 + 553 + 4 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23123460096 + 10277093376 = 152064^2 + 101376^2 .

It is a super-2 number, since 2×33400553472² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2569273338 + ... + 2569273350.

Almost surely, 2^33400553472 is an apocalyptic number.

33400553472 is a gapful number since it is divisible by the number (32) 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 33400553472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59061454837).

33400553472 is an abundant number, since it is smaller than the sum of its proper divisors (84722356202).

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

33400553472 is an frugal number, since it uses more digits than its factorization.

33400553472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 36.

The spelling of 33400553472 in words is "thirty-three billion, four hundred million, five hundred fifty-three thousand, four hundred seventy-two".