34014233000400 has 60 divisors (see below), whose sum is σ = 108958926381792. Its totient is φ = 9070462133120.

The previous prime is 34014233000359. The next prime is 34014233000417. The reversal of 34014233000400 is 400033241043.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14172595884 + ... + 14172598283.

Almost surely, 2^{34014233000400} is an apocalyptic number.

34014233000400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34014233000400 is an abundant number, since it is smaller than the sum of its proper divisors (74944693381392).

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

34014233000400 is a wasteful number, since it uses less digits than its factorization.

34014233000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28345194188 (or 28345194177 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 34014233000400 its reverse (400033241043), we get a palindrome (34414266241443).

The spelling of 34014233000400 in words is "thirty-four trillion, fourteen billion, two hundred thirty-three million, four hundred", and thus it is an aban number.