1644412226400 has 216 divisors, whose sum is σ = 5933461093560. Its totient is φ = 428311941120.

The previous prime is 1644412226363. The next prime is 1644412226533. The reversal of 1644412226400 is 46222144461.

1644412226400 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 4 + 1 + 2 + 2 + 2 + 640 + 0 = 666.

It is a super-3 number, since 3×1644412226400³ (a number of 38 digits) contains 333 as substring.

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2346105 + ... + 2965304.

It is an arithmetic number, because the mean of its divisors is an integer number (27469727285).

Almost surely, 2^{1644412226400} is an apocalyptic number.

1644412226400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1644412226400 is an abundant number, since it is smaller than the sum of its proper divisors (4289048867160).

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

1644412226400 is a wasteful number, since it uses less digits than its factorization.

1644412226400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5311478 (or 5311462 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 1644412226400 in words is "one trillion, six hundred forty-four billion, four hundred twelve million, two hundred twenty-six thousand, four hundred".