33961667040 has 1440 divisors, whose sum is σ = 155580917184. Its totient is φ = 6808043520.

The previous prime is 33961667039. The next prime is 33961667071. The reversal of 33961667040 is 4076616933.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×33961667040³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 556748610 + ... + 556748670.

Almost surely, 2^33961667040 is an apocalyptic number.

33961667040 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 33961667040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77790458592).

33961667040 is an abundant number, since it is smaller than the sum of its proper divisors (121619250144).

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

33961667040 is a wasteful number, since it uses less digits than its factorization.

33961667040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 33961667040 in words is "thirty-three billion, nine hundred sixty-one million, six hundred sixty-seven thousand, forty".