4151456064 has 280 divisors, whose sum is σ = 14153375808. Its totient is φ = 1178634240.

The previous prime is 4151456039. The next prime is 4151456087. The reversal of 4151456064 is 4606541514.

4151456064 is a `hidden beast` number, since 4 + 1 + 5 + 1 + 45 + 606 + 4 = 666.

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 39 ways as a sum of consecutive naturals, for example, 8454859 + ... + 8455349.

Almost surely, 2^4151456064 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 4151456064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7076687904).

4151456064 is an abundant number, since it is smaller than the sum of its proper divisors (10001919744).

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

4151456064 is a wasteful number, since it uses less digits than its factorization.

4151456064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 736 counting only the distinct ones).

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

The square root of 4151456064 is about 64431.7938909045. The cubic root of 4151456064 is about 1607.1884967458.

Adding to 4151456064 its reverse (4606541514), we get a palindrome (8757997578).

The spelling of 4151456064 in words is "four billion, one hundred fifty-one million, four hundred fifty-six thousand, sixty-four".