4251653280 has 384 divisors, whose sum is σ = 17302118400. Its totient is φ = 954934272.

The previous prime is 4251653243. The next prime is 4251653347. The reversal of 4251653280 is 823561524.

4251653280 is a `hidden beast` number, since 42 + 5 + 1 + 6 + 532 + 80 = 666.

4251653280 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4251653280² = 36153111226669516800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1782969 + ... + 1785351.

It is an arithmetic number, because the mean of its divisors is an integer number (45057600).

Almost surely, 2^4251653280 is an apocalyptic number.

4251653280 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 4251653280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8651059200).

4251653280 is an abundant number, since it is smaller than the sum of its proper divisors (13050465120).

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

4251653280 is a wasteful number, since it uses less digits than its factorization.

4251653280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2473 (or 2459 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 4251653280 is about 65204.7028978739. The cubic root of 4251653280 is about 1620.0159120522.

The spelling of 4251653280 in words is "four billion, two hundred fifty-one million, six hundred fifty-three thousand, two hundred eighty".