34200141140040 has 64 divisors (see below), whose sum is σ = 105373407850560. Its totient is φ = 8873550132480.

The previous prime is 34200141140021. The next prime is 34200141140047. The reversal of 34200141140040 is 4004114100243.

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

It is not an unprimeable number, because it can be changed into a prime (34200141140047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3851362806 + ... + 3851371685.

It is an arithmetic number, because the mean of its divisors is an integer number (1646459497665).

Almost surely, 2^{34200141140040} is an apocalyptic number.

34200141140040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34200141140040 is an abundant number, since it is smaller than the sum of its proper divisors (71173266710520).

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

34200141140040 is a wasteful number, since it uses less digits than its factorization.

34200141140040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7702734542 (or 7702734538 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 34200141140040 its reverse (4004114100243), we get a palindrome (38204255240283).

The spelling of 34200141140040 in words is "thirty-four trillion, two hundred billion, one hundred forty-one million, one hundred forty thousand, forty".