4145320320400 has 120 divisors (see below), whose sum is σ = 11427213236544. Its totient is φ = 1415590080000.

The previous prime is 4145320320367. The next prime is 4145320320409. The reversal of 4145320320400 is 40230235414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (4145320320409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2246347 + ... + 3651946.

Almost surely, 2^{4145320320400} is an apocalyptic number.

4145320320400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4145320320400 is an abundant number, since it is smaller than the sum of its proper divisors (7281892916144).

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

4145320320400 is a wasteful number, since it uses less digits than its factorization.

4145320320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5898569 (or 5898558 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 4145320320400 its reverse (40230235414), we get a palindrome (4185550555814).

The spelling of 4145320320400 in words is "four trillion, one hundred forty-five billion, three hundred twenty million, three hundred twenty thousand, four hundred".