4252641254100 has 216 divisors, whose sum is σ = 14071684667040. Its totient is φ = 1071253866240.

The previous prime is 4252641254053. The next prime is 4252641254101. The reversal of 4252641254100 is 14521462524.

4252641254100 is a `hidden beast` number, since 4 + 2 + 5 + 2 + 641 + 2 + 5 + 4 + 1 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4252641254101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5575354 + ... + 6292046.

Almost surely, 2^{4252641254100} 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 4252641254100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7035842333520).

4252641254100 is an abundant number, since it is smaller than the sum of its proper divisors (9819043412940).

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

4252641254100 is a wasteful number, since it uses less digits than its factorization.

4252641254100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717079 (or 717069 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 4252641254100 in words is "four trillion, two hundred fifty-two billion, six hundred forty-one million, two hundred fifty-four thousand, one hundred".