4314345435400 has 576 divisors, whose sum is σ = 14007993431040. Its totient is φ = 1201229568000.

The previous prime is 4314345435349. The next prime is 4314345435443. The reversal of 4314345435400 is 45345434134.

It is a super-2 number, since 2×4314345435400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 68236602 + ... + 68299798.

It is an arithmetic number, because the mean of its divisors is an integer number (24319433040).

Almost surely, 2^{4314345435400} is an apocalyptic number.

4314345435400 is a gapful number since it is divisible by the number (40) 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 4314345435400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7003996715520).

4314345435400 is an abundant number, since it is smaller than the sum of its proper divisors (9693647995640).

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

4314345435400 is a wasteful number, since it uses less digits than its factorization.

4314345435400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63286 (or 63266 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 40.

The spelling of 4314345435400 in words is "four trillion, three hundred fourteen billion, three hundred forty-five million, four hundred thirty-five thousand, four hundred".