33514042401 has 36 divisors (see below), whose sum is σ = 56420771472. Its totient is φ = 19114132464.

The previous prime is 33514042381. The next prime is 33514042421. The reversal of 33514042401 is 10424041533.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (33514042381) and next prime (33514042421).

It is not a de Polignac number, because 33514042401 - 2⁶ = 33514042337 is a prime.

It is a super-2 number, since 2×33514042401² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33514042421) 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 35 ways as a sum of consecutive naturals, for example, 157990 + ... + 303296.

It is an arithmetic number, because the mean of its divisors is an integer number (1567243652).

Almost surely, 2^33514042401 is an apocalyptic number.

It is an amenable number.

33514042401 is a deficient number, since it is larger than the sum of its proper divisors (22906729071).

33514042401 is a wasteful number, since it uses less digits than its factorization.

33514042401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145850 (or 145840 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 33514042401 its reverse (10424041533), we get a palindrome (43938083934).

The spelling of 33514042401 in words is "thirty-three billion, five hundred fourteen million, forty-two thousand, four hundred one".