4354145040 has 320 divisors, whose sum is σ = 15941836800. Its totient is φ = 962537472.

The previous prime is 4354145039. The next prime is 4354145053. The reversal of 4354145040 is 405414534.

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 = 4354144989 and 4354145007.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7033851 + ... + 7034469.

It is an arithmetic number, because the mean of its divisors is an integer number (49818240).

Almost surely, 2^4354145040 is an apocalyptic number.

4354145040 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 4354145040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7970918400).

4354145040 is an abundant number, since it is smaller than the sum of its proper divisors (11587691760).

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

4354145040 is a wasteful number, since it uses less digits than its factorization.

4354145040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 4354145040 is about 65985.9457763545. The cubic root of 4354145040 is about 1632.9302354788.

Adding to 4354145040 its reverse (405414534), we get a palindrome (4759559574).

The spelling of 4354145040 in words is "four billion, three hundred fifty-four million, one hundred forty-five thousand, forty".