33726551040 has 1056 divisors, whose sum is σ = 150543912960. Its totient is φ = 7097352192.

The previous prime is 33726551021. The next prime is 33726551041. The reversal of 33726551040 is 4015562733.

33726551040 is a `hidden beast` number, since 33 + 72 + 6 + 5 + 510 + 40 = 666.

It is a super-2 number, since 2×33726551040² (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 junction number, because it is equal to n+sod(n) for n = 33726550986 and 33726551004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33726551041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88058689 + ... + 88059071.

Almost surely, 2^33726551040 is an apocalyptic number.

33726551040 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 33726551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75271956480).

33726551040 is an abundant number, since it is smaller than the sum of its proper divisors (116817361920).

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

33726551040 is a wasteful number, since it uses less digits than its factorization.

33726551040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 33726551040 in words is "thirty-three billion, seven hundred twenty-six million, five hundred fifty-one thousand, forty".