4001145432240 has 320 divisors, whose sum is σ = 14125277352960. Its totient is φ = 927419412480.

The previous prime is 4001145432227. The next prime is 4001145432257. The reversal of 4001145432240 is 422345411004.

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 = 4001145432198 and 4001145432207.

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, 163506726 + ... + 163531194.

It is an arithmetic number, because the mean of its divisors is an integer number (44141491728).

Almost surely, 2^{4001145432240} is an apocalyptic number.

4001145432240 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 4001145432240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7062638676480).

4001145432240 is an abundant number, since it is smaller than the sum of its proper divisors (10124131920720).

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

4001145432240 is a wasteful number, since it uses less digits than its factorization.

4001145432240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27212 (or 27206 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The spelling of 4001145432240 in words is "four trillion, one billion, one hundred forty-five million, four hundred thirty-two thousand, two hundred forty".