1446120000 has 560 divisors, whose sum is σ = 5776650880. Its totient is φ = 352512000.

The previous prime is 1446119933. The next prime is 1446120007. The reversal of 1446120000 is 216441.

1446120000 is a `hidden beast` number, since 1 + 4 + 461 + 200 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (18) 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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1446120007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14039949 + ... + 14040051.

It is an arithmetic number, because the mean of its divisors is an integer number (10315448).

Almost surely, 2^1446120000 is an apocalyptic number.

1446120000 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 1446120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2888325440).

1446120000 is an abundant number, since it is smaller than the sum of its proper divisors (4330530880).

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

1446120000 is a wasteful number, since it uses less digits than its factorization.

1446120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1446120000 is about 38027.8845059780. The cubic root of 1446120000 is about 1130.8407349138.

Adding to 1446120000 its reverse (216441), we get a palindrome (1446336441).

The spelling of 1446120000 in words is "one billion, four hundred forty-six million, one hundred twenty thousand".