4135147531200 has 1008 divisors, whose sum is σ = 16951147200000. Its totient is φ = 936547246080.

The previous prime is 4135147531171. The next prime is 4135147531211. The reversal of 4135147531200 is 21357415314.

4135147531200 is a `hidden beast` number, since 4 + 1 + 351 + 4 + 75 + 31 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8286868551 + ... + 8286869049.

Almost surely, 2^{4135147531200} is an apocalyptic number.

4135147531200 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 4135147531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8475573600000).

4135147531200 is an abundant number, since it is smaller than the sum of its proper divisors (12815999668800).

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

4135147531200 is a wasteful number, since it uses less digits than its factorization.

4135147531200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 4135147531200 in words is "four trillion, one hundred thirty-five billion, one hundred forty-seven million, five hundred thirty-one thousand, two hundred".