1864470244000 has 768 divisors, whose sum is σ = 5809561325568. Its totient is φ = 572313600000.

The previous prime is 1864470243953. The next prime is 1864470244009. The reversal of 1864470244000 is 4420744681.

It is a super-2 number, since 2×1864470244000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1864470244009) 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 127 ways as a sum of consecutive naturals, for example, 4044403770 + ... + 4044404230.

It is an arithmetic number, because the mean of its divisors is an integer number (7564532976).

Almost surely, 2^{1864470244000} is an apocalyptic number.

1864470244000 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 1864470244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2904780662784).

1864470244000 is an abundant number, since it is smaller than the sum of its proper divisors (3945091081568).

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

1864470244000 is a wasteful number, since it uses less digits than its factorization.

1864470244000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 40.

Adding to 1864470244000 its reverse (4420744681), we get a palindrome (1868890988681).

The spelling of 1864470244000 in words is "one trillion, eight hundred sixty-four billion, four hundred seventy million, two hundred forty-four thousand".