51444100404 has 96 divisors (see below), whose sum is σ = 140164295040. Its totient is φ = 16296505344.

The previous prime is 51444100397. The next prime is 51444100451. The reversal of 51444100404 is 40400144415.

51444100404 is a `hidden beast` number, since 514 + 4 + 4 + 100 + 40 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22132 + ... + 321524.

It is an arithmetic number, because the mean of its divisors is an integer number (1460044740).

Almost surely, 2^51444100404 is an apocalyptic number.

51444100404 is a gapful number since it is divisible by the number (54) 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 51444100404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70082147520).

51444100404 is an abundant number, since it is smaller than the sum of its proper divisors (88720194636).

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

51444100404 is a wasteful number, since it uses less digits than its factorization.

51444100404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299486 (or 299478 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 51444100404 its reverse (40400144415), we get a palindrome (91844244819).

The spelling of 51444100404 in words is "fifty-one billion, four hundred forty-four million, one hundred thousand, four hundred four".