4251550464 has 216 divisors, whose sum is σ = 14626414320. Its totient is φ = 1214631936.

The previous prime is 4251550463. The next prime is 4251550469. The reversal of 4251550464 is 4640551524.

4251550464 is a `hidden beast` number, since 42 + 5 + 1 + 550 + 4 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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 (4251550463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 332412 + ... + 344964.

Almost surely, 2^4251550464 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 4251550464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7313207160).

4251550464 is an abundant number, since it is smaller than the sum of its proper divisors (10374863856).

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

4251550464 is a wasteful number, since it uses less digits than its factorization.

4251550464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12592 (or 12565 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 4251550464 is about 65203.9144837179. The cubic root of 4251550464 is about 1620.0028532186.

The spelling of 4251550464 in words is "four billion, two hundred fifty-one million, five hundred fifty thousand, four hundred sixty-four".