4756132147200 has 1248 divisors, whose sum is σ = 18955101081600. Its totient is φ = 1029109186560.

The previous prime is 4756132147187. The next prime is 4756132147201. The reversal of 4756132147200 is 27412316574.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (4756132147201) 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, 3305164081 + ... + 3305165519.

Almost surely, 2^{4756132147200} is an apocalyptic number.

4756132147200 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 4756132147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9477550540800).

4756132147200 is an abundant number, since it is smaller than the sum of its proper divisors (14198968934400).

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

4756132147200 is a wasteful number, since it uses less digits than its factorization.

4756132147200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 4756132147200 in words is "four trillion, seven hundred fifty-six billion, one hundred thirty-two million, one hundred forty-seven thousand, two hundred".