4144694400 has 1152 divisors, whose sum is σ = 19465272000. Its totient is φ = 851558400.

The previous prime is 4144694381. The next prime is 4144694429. The reversal of 4144694400 is 44964414.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 46569556 + ... + 46569644.

Almost surely, 2^4144694400 is an apocalyptic number.

4144694400 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 4144694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9732636000).

4144694400 is an abundant number, since it is smaller than the sum of its proper divisors (15320577600).

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

4144694400 is a wasteful number, since it uses less digits than its factorization.

4144694400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4144694400 is about 64379.3010213687. The cubic root of 4144694400 is about 1606.3154557549.

The spelling of 4144694400 in words is "four billion, one hundred forty-four million, six hundred ninety-four thousand, four hundred".