34313214001440 has 192 divisors, whose sum is σ = 117916546728960. Its totient is φ = 8318082186240.

The previous prime is 34313214001433. The next prime is 34313214001447. The reversal of 34313214001440 is 4410041231343.

It is an interprime number because it is at equal distance from previous prime (34313214001433) and next prime (34313214001447).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34313214001398 and 34313214001407.

It is not an unprimeable number, because it can be changed into a prime (34313214001447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194675271 + ... + 194851449.

It is an arithmetic number, because the mean of its divisors is an integer number (614148680880).

Almost surely, 2^{34313214001440} is an apocalyptic number.

34313214001440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34313214001440 is an abundant number, since it is smaller than the sum of its proper divisors (83603332727520).

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

34313214001440 is a wasteful number, since it uses less digits than its factorization.

34313214001440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213095 (or 213087 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 34313214001440 its reverse (4410041231343), we get a palindrome (38723255232783).

The spelling of 34313214001440 in words is "thirty-four trillion, three hundred thirteen billion, two hundred fourteen million, one thousand, four hundred forty".