4051457280 has 324 divisors, whose sum is σ = 15186137148. Its totient is φ = 996802560.

The previous prime is 4051457279. The next prime is 4051457321. The reversal of 4051457280 is 827541504.

4051457280 is a `hidden beast` number, since 4 + 0 + 5 + 1 + 4 + 572 + 80 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1009714176 + 3041743104 = 31776^2 + 55152^2 .

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 35 ways as a sum of consecutive naturals, for example, 1945840 + ... + 1947920.

Almost surely, 2^4051457280 is an apocalyptic number.

4051457280 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 4051457280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7593068574).

4051457280 is an abundant number, since it is smaller than the sum of its proper divisors (11134679868).

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

4051457280 is a wasteful number, since it uses less digits than its factorization.

4051457280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2134 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 4051457280 is about 63651.0587500318. The cubic root of 4051457280 is about 1594.1790149317.

Adding to 4051457280 its reverse (827541504), we get a palindrome (4878998784).

The spelling of 4051457280 in words is "four billion, fifty-one million, four hundred fifty-seven thousand, two hundred eighty".