4424036216400 has 120 divisors (see below), whose sum is σ = 15746291904960. Its totient is φ = 1179742988160.

The previous prime is 4424036216357. The next prime is 4424036216407. The reversal of 4424036216400 is 46126304244.

4424036216400 is a `hidden beast` number, since 4 + 4 + 2 + 4 + 0 + 3 + 6 + 2 + 1 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4424036216407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 204805692 + ... + 204827291.

It is an arithmetic number, because the mean of its divisors is an integer number (131219099208).

Almost surely, 2^{4424036216400} is an apocalyptic number.

4424036216400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4424036216400 is an abundant number, since it is smaller than the sum of its proper divisors (11322255688560).

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

4424036216400 is a wasteful number, since it uses less digits than its factorization.

4424036216400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409633010 (or 409632993 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 4424036216400 in words is "four trillion, four hundred twenty-four billion, thirty-six million, two hundred sixteen thousand, four hundred".