4254132960 has 1152 divisors, whose sum is σ = 19813248000. Its totient is φ = 853493760.

The previous prime is 4254132943. The next prime is 4254132973. The reversal of 4254132960 is 692314524.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 146694226 + ... + 146694254.

It is an arithmetic number, because the mean of its divisors is an integer number (17199000).

Almost surely, 2^4254132960 is an apocalyptic number.

4254132960 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 4254132960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9906624000).

4254132960 is an abundant number, since it is smaller than the sum of its proper divisors (15559115040).

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

4254132960 is a wasteful number, since it uses less digits than its factorization.

4254132960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4254132960 is about 65223.7147056192. The cubic root of 4254132960 is about 1620.3307966458.

The spelling of 4254132960 in words is "four billion, two hundred fifty-four million, one hundred thirty-two thousand, nine hundred sixty".