1779022440000 has 2205 divisors, whose sum is σ = 7558767414693. Its totient is φ = 414865152000.

The previous prime is 1779022439959. The next prime is 1779022440017. The reversal of 1779022440000 is 442209771.

The square root of 1779022440000 is 1333800.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 1757194150464 + 21828289536 = 1325592^2 + 147744^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 314 ways as a sum of consecutive naturals, for example, 93632759991 + ... + 93632760009.

Almost surely, 2^{1779022440000} is an apocalyptic number.

1779022440000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1779022440000 is the 1333800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1779022440000

1779022440000 is an abundant number, since it is smaller than the sum of its proper divisors (5779744974693).

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

1779022440000 is an frugal number, since it uses more digits than its factorization.

1779022440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

Multiplying 1779022440000 by its sum of digits (36), we get a square (64044807840000 = 8002800²).

1779022440000 divided by its sum of digits (36) gives a square (49417290000 = 222300²).

Adding to 1779022440000 its reverse (442209771), we get a palindrome (1779464649771).

The spelling of 1779022440000 in words is "one trillion, seven hundred seventy-nine billion, twenty-two million, four hundred forty thousand".