34144114140 has 192 divisors, whose sum is σ = 107065728000. Its totient is φ = 9033493248.

The previous prime is 34144114133. The next prime is 34144114153. The reversal of 34144114140 is 4141144143.

34144114140 is a `hidden beast` number, since 3 + 41 + 441 + 141 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57001561 + ... + 57002159.

It is an arithmetic number, because the mean of its divisors is an integer number (557634000).

Almost surely, 2^34144114140 is an apocalyptic number.

34144114140 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 34144114140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53532864000).

34144114140 is an abundant number, since it is smaller than the sum of its proper divisors (72921613860).

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

34144114140 is a wasteful number, since it uses less digits than its factorization.

34144114140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 34144114140 its reverse (4141144143), we get a palindrome (38285258283).

The spelling of 34144114140 in words is "thirty-four billion, one hundred forty-four million, one hundred fourteen thousand, one hundred forty".