34410010140 has 336 divisors, whose sum is σ = 121097090016. Its totient is φ = 8136806400.

The previous prime is 34410010091. The next prime is 34410010153. The reversal of 34410010140 is 4101001443.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6572964 + ... + 6578196.

It is an arithmetic number, because the mean of its divisors is an integer number (360408006).

Almost surely, 2^34410010140 is an apocalyptic number.

34410010140 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 34410010140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60548545008).

34410010140 is an abundant number, since it is smaller than the sum of its proper divisors (86687079876).

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

34410010140 is a wasteful number, since it uses less digits than its factorization.

34410010140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5312 (or 5295 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 34410010140 its reverse (4101001443), we get a palindrome (38511011583).

The spelling of 34410010140 in words is "thirty-four billion, four hundred ten million, ten thousand, one hundred forty".