4677131124000 has 576 divisors, whose sum is σ = 17486884920960. Its totient is φ = 1180637337600.

The previous prime is 4677131123953. The next prime is 4677131124007. The reversal of 4677131124000 is 4211317764.

4677131124000 is a `hidden beast` number, since 46 + 77 + 131 + 12 + 400 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4677131124007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1283866179 + ... + 1283869821.

It is an arithmetic number, because the mean of its divisors is an integer number (30359175210).

Almost surely, 2^{4677131124000} is an apocalyptic number.

4677131124000 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 4677131124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8743442460480).

4677131124000 is an abundant number, since it is smaller than the sum of its proper divisors (12809753796960).

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

4677131124000 is a wasteful number, since it uses less digits than its factorization.

4677131124000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5570 (or 5549 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 4677131124000 in words is "four trillion, six hundred seventy-seven billion, one hundred thirty-one million, one hundred twenty-four thousand".