51414144 has 64 divisors (see below), whose sum is σ = 137479680. Its totient is φ = 17024000.

The previous prime is 51414113. The next prime is 51414161. The reversal of 51414144 is 44141415.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72994 + ... + 73694.

It is an arithmetic number, because the mean of its divisors is an integer number (2148120).

Almost surely, 2^51414144 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 51414144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68739840).

51414144 is an abundant number, since it is smaller than the sum of its proper divisors (86065536).

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

51414144 is a wasteful number, since it uses less digits than its factorization.

51414144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 897 counting only the distinct ones).

The product of its digits is 1280, while the sum is 24.

The square root of 51414144 is about 7170.3656810514. The cubic root of 51414144 is about 371.8440784872.

Adding to 51414144 its reverse (44141415), we get a palindrome (95555559).

The spelling of 51414144 in words is "fifty-one million, four hundred fourteen thousand, one hundred forty-four".