4145235434340 has 768 divisors, whose sum is σ = 16291640623104. Its totient is φ = 759103488000.

The previous prime is 4145235434321. The next prime is 4145235434377. The reversal of 4145235434340 is 434345325414.

It is a super-2 number, since 2×4145235434340² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4145235434292 and 4145235434301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 830206884 + ... + 830211876.

It is an arithmetic number, because the mean of its divisors is an integer number (21213073728).

Almost surely, 2^{4145235434340} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4145235434340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8145820311552).

4145235434340 is an abundant number, since it is smaller than the sum of its proper divisors (12146405188764).

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

4145235434340 is a wasteful number, since it uses less digits than its factorization.

4145235434340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5660 (or 5658 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 42.

The spelling of 4145235434340 in words is "four trillion, one hundred forty-five billion, two hundred thirty-five million, four hundred thirty-four thousand, three hundred forty".