4147001461200 has 240 divisors, whose sum is σ = 15059044978880. Its totient is φ = 967073955840.

The previous prime is 4147001461159. The next prime is 4147001461247. The reversal of 4147001461200 is 21641007414.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×4147001461200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6699217 + ... + 7292016.

Almost surely, 2^{4147001461200} is an apocalyptic number.

4147001461200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4147001461200 is an abundant number, since it is smaller than the sum of its proper divisors (10912043517680).

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

4147001461200 is a wasteful number, since it uses less digits than its factorization.

4147001461200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13991286 (or 13991275 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

Adding to 4147001461200 its reverse (21641007414), we get a palindrome (4168642468614).

The spelling of 4147001461200 in words is "four trillion, one hundred forty-seven billion, one million, four hundred sixty-one thousand, two hundred".