4001467401360 has 960 divisors, whose sum is σ = 16668995616000. Its totient is φ = 845730201600.

The previous prime is 4001467401317. The next prime is 4001467401391. The reversal of 4001467401360 is 631047641004.

4001467401360 is a `hidden beast` number, since 400 + 146 + 7 + 40 + 13 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 682724830 + ... + 682730690.

It is an arithmetic number, because the mean of its divisors is an integer number (17363537100).

Almost surely, 2^{4001467401360} is an apocalyptic number.

4001467401360 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 4001467401360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8334497808000).

4001467401360 is an abundant number, since it is smaller than the sum of its proper divisors (12667528214640).

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

4001467401360 is a wasteful number, since it uses less digits than its factorization.

4001467401360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6272 (or 6263 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 4001467401360 in words is "four trillion, one billion, four hundred sixty-seven million, four hundred one thousand, three hundred sixty".