4211453664 has 576 divisors, whose sum is σ = 14819051520. Its totient is φ = 1119744000.

The previous prime is 4211453647. The next prime is 4211453671. The reversal of 4211453664 is 4663541124.

4211453664 is a `hidden beast` number, since 4 + 2 + 114 + 536 + 6 + 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69040194 + ... + 69040254.

It is an arithmetic number, because the mean of its divisors is an integer number (25727520).

Almost surely, 2^4211453664 is an apocalyptic number.

4211453664 is a gapful number since it is divisible by the number (44) 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 4211453664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7409525760).

4211453664 is an abundant number, since it is smaller than the sum of its proper divisors (10607597856).

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

4211453664 is a wasteful number, since it uses less digits than its factorization.

4211453664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 164 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 4211453664 is about 64895.7137567652. The cubic root of 4211453664 is about 1614.8939552782.

Adding to 4211453664 its reverse (4663541124), we get a palindrome (8874994788).

The spelling of 4211453664 in words is "four billion, two hundred eleven million, four hundred fifty-three thousand, six hundred sixty-four".