2033129030400 has 2160 divisors, whose sum is σ = 8539860288960. Its totient is φ = 473776128000.

The previous prime is 2033129030377. The next prime is 2033129030431. The reversal of 2033129030400 is 40309213302.

It is a happy number.

2033129030400 is a `hidden beast` number, since 2 + 0 + 331 + 29 + 0 + 304 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×2033129030400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 19739116749 + ... + 19739116851.

Almost surely, 2^{2033129030400} is an apocalyptic number.

2033129030400 is a gapful number since it is divisible by the number (20) 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 2033129030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4269930144480).

2033129030400 is an abundant number, since it is smaller than the sum of its proper divisors (6506731258560).

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

2033129030400 is a wasteful number, since it uses less digits than its factorization.

2033129030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The spelling of 2033129030400 in words is "two trillion, thirty-three billion, one hundred twenty-nine million, thirty thousand, four hundred".