1244396001600 has 1512 divisors, whose sum is σ = 5132807372160. Its totient is φ = 295074938880.

The previous prime is 1244396001577. The next prime is 1244396001643. The reversal of 1244396001600 is 61006934421.

1244396001600 is a `hidden beast` number, since 1 + 2 + 4 + 4 + 39 + 600 + 16 + 0 + 0 = 666.

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 215 ways as a sum of consecutive naturals, for example, 3390724617 + ... + 3390724983.

Almost surely, 2^{1244396001600} is an apocalyptic number.

1244396001600 is a gapful number since it is divisible by the number (10) 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 1244396001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2566403686080).

1244396001600 is an abundant number, since it is smaller than the sum of its proper divisors (3888411370560).

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

1244396001600 is an equidigital number, since it uses as much as digits as its factorization.

1244396001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 1244396001600 in words is "one trillion, two hundred forty-four billion, three hundred ninety-six million, one thousand, six hundred".