4282540416 has 768 divisors, whose sum is σ = 17023392000. Its totient is φ = 1053803520.

The previous prime is 4282540393. The next prime is 4282540433. The reversal of 4282540416 is 6140452824.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 225396855 + ... + 225396873.

It is an arithmetic number, because the mean of its divisors is an integer number (22165875).

Almost surely, 2^4282540416 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 4282540416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8511696000).

4282540416 is an abundant number, since it is smaller than the sum of its proper divisors (12740851584).

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

4282540416 is a wasteful number, since it uses less digits than its factorization.

4282540416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 4282540416 is about 65441.1217507769. The cubic root of 4282540416 is about 1623.9294460034.

The spelling of 4282540416 in words is "four billion, two hundred eighty-two million, five hundred forty thousand, four hundred sixteen".