35104014000 has 480 divisors, whose sum is σ = 141634059840. Its totient is φ = 8008704000.

The previous prime is 35104013999. The next prime is 35104014031. The reversal of 35104014000 is 41040153.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3360786 + ... + 3371214.

It is an arithmetic number, because the mean of its divisors is an integer number (295070958).

Almost surely, 2^35104014000 is an apocalyptic number.

35104014000 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 35104014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70817029920).

35104014000 is an abundant number, since it is smaller than the sum of its proper divisors (106530045840).

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

35104014000 is a wasteful number, since it uses less digits than its factorization.

35104014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10486 (or 10467 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 35104014000 its reverse (41040153), we get a palindrome (35145054153).

The spelling of 35104014000 in words is "thirty-five billion, one hundred four million, fourteen thousand".