4976142425100 has 2160 divisors, whose sum is σ = 22503450520320. Its totient is φ = 921325363200.

The previous prime is 4976142425047. The next prime is 4976142425101. The reversal of 4976142425100 is 15242416794.

4976142425100 is a `hidden beast` number, since 4 + 9 + 7 + 614 + 2 + 4 + 25 + 1 + 0 + 0 = 666.

It is a super-2 number, since 2×4976142425100² (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 not an unprimeable number, because it can be changed into a prime (4976142425101) by changing a digit.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 3424735974 + ... + 3424737426.

Almost surely, 2^{4976142425100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4976142425100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11251725260160).

4976142425100 is an abundant number, since it is smaller than the sum of its proper divisors (17527308095220).

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

4976142425100 is a wasteful number, since it uses less digits than its factorization.

4976142425100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1550 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 4976142425100 in words is "four trillion, nine hundred seventy-six billion, one hundred forty-two million, four hundred twenty-five thousand, one hundred".