33425050982400 has 4320 divisors, whose sum is σ = 165582061444800. Its totient is φ = 6571553587200.

The previous prime is 33425050982399. The next prime is 33425050982417. The reversal of 33425050982400 is 428905052433.

33425050982400 is a `hidden beast` number, since 3 + 3 + 4 + 25 + 0 + 509 + 82 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a super-2 number, since 2×33425050982400² (a number of 28 digits) contains 22 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 359 ways as a sum of consecutive naturals, for example, 42471474807 + ... + 42471475593.

It is an arithmetic number, because the mean of its divisors is an integer number (38329180890).

Almost surely, 2^{33425050982400} is an apocalyptic number.

33425050982400 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 33425050982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82791030722400).

33425050982400 is an abundant number, since it is smaller than the sum of its proper divisors (132157010462400).

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

33425050982400 is a wasteful number, since it uses less digits than its factorization.

33425050982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 33425050982400 in words is "thirty-three trillion, four hundred twenty-five billion, fifty million, nine hundred eighty-two thousand, four hundred".