4786141651200 has 1728 divisors, whose sum is σ = 21740239091200. Its totient is φ = 1009262592000.

The previous prime is 4786141651127. The next prime is 4786141651219. The reversal of 4786141651200 is 21561416874.

4786141651200 is a `hidden beast` number, since 4 + 7 + 8 + 614 + 1 + 6 + 5 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×4786141651200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2657490300 + ... + 2657492100.

Almost surely, 2^{4786141651200} is an apocalyptic number.

4786141651200 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 4786141651200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10870119545600).

4786141651200 is an abundant number, since it is smaller than the sum of its proper divisors (16954097440000).

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

4786141651200 is a wasteful number, since it uses less digits than its factorization.

4786141651200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1882 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 4786141651200 in words is "four trillion, seven hundred eighty-six billion, one hundred forty-one million, six hundred fifty-one thousand, two hundred".