33400214401 has 8 divisors (see below), whose sum is σ = 34501318400. Its totient is φ = 32300590320.

The previous prime is 33400214369. The next prime is 33400214461. The reversal of 33400214401 is 10441200433.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 33400214401 - 2⁵ = 33400214369 is a prime.

It is a super-2 number, since 2×33400214401² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33400214461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 324006 + ... + 414463.

It is an arithmetic number, because the mean of its divisors is an integer number (4312664800).

Almost surely, 2^33400214401 is an apocalyptic number.

33400214401 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

33400214401 is a deficient number, since it is larger than the sum of its proper divisors (1101103999).

33400214401 is a wasteful number, since it uses less digits than its factorization.

33400214401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739959.

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 33400214401 its reverse (10441200433), we get a palindrome (43841414834).

The spelling of 33400214401 in words is "thirty-three billion, four hundred million, two hundred fourteen thousand, four hundred one".