33255423461400 has 192 divisors, whose sum is σ = 117898683168000. Its totient is φ = 7596112642560.

The previous prime is 33255423461357. The next prime is 33255423461413. The reversal of 33255423461400 is 416432455233.

It is a super-3 number, since 3×33255423461400³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3559026 + ... + 8898174.

It is an arithmetic number, because the mean of its divisors is an integer number (614055641500).

Almost surely, 2^{33255423461400} is an apocalyptic number.

33255423461400 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 33255423461400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58949341584000).

33255423461400 is an abundant number, since it is smaller than the sum of its proper divisors (84643259706600).

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

33255423461400 is a wasteful number, since it uses less digits than its factorization.

33255423461400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5340658 (or 5340649 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 42.

The spelling of 33255423461400 in words is "thirty-three trillion, two hundred fifty-five billion, four hundred twenty-three million, four hundred sixty-one thousand, four hundred".