33796741440 has 448 divisors, whose sum is σ = 134412410880. Its totient is φ = 6989660160.

The previous prime is 33796741439. The next prime is 33796741441. The reversal of 33796741440 is 4414769733.

It is an interprime number because it is at equal distance from previous prime (33796741439) and next prime (33796741441).

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×33796741440² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 33796741440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33796741441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17665924 + ... + 17667836.

Almost surely, 2^33796741440 is an apocalyptic number.

33796741440 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 33796741440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67206205440).

33796741440 is an abundant number, since it is smaller than the sum of its proper divisors (100615669440).

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

33796741440 is a wasteful number, since it uses less digits than its factorization.

33796741440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 48.

The spelling of 33796741440 in words is "thirty-three billion, seven hundred ninety-six million, seven hundred forty-one thousand, four hundred forty".