4251355249140 has 576 divisors, whose sum is σ = 13985030949120. Its totient is φ = 1071170749440.

The previous prime is 4251355249093. The next prime is 4251355249157. The reversal of 4251355249140 is 419425531524.

4251355249140 is a `hidden beast` number, since 4 + 2 + 5 + 1 + 3 + 552 + 4 + 91 + 4 + 0 = 666.

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

It is a congruent number.

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, 9222028510 + ... + 9222028970.

It is an arithmetic number, because the mean of its divisors is an integer number (24279567620).

Almost surely, 2^{4251355249140} 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 4251355249140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6992515474560).

4251355249140 is an abundant number, since it is smaller than the sum of its proper divisors (9733675699980).

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

4251355249140 is a wasteful number, since it uses less digits than its factorization.

4251355249140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 4251355249140 in words is "four trillion, two hundred fifty-one billion, three hundred fifty-five million, two hundred forty-nine thousand, one hundred forty".