1829969222400 has 1296 divisors, whose sum is σ = 7622354638080. Its totient is φ = 414167040000.

The previous prime is 1829969222383. The next prime is 1829969222479. The reversal of 1829969222400 is 42229699281.

It is a happy number.

1829969222400 is a `hidden beast` number, since 1 + 8 + 2 + 9 + 9 + 6 + 9 + 222 + 400 = 666.

It is a super-3 number, since 3×1829969222400³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 854725330 + ... + 854727470.

It is an arithmetic number, because the mean of its divisors is an integer number (5881446480).

Almost surely, 2^{1829969222400} is an apocalyptic number.

1829969222400 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 1829969222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3811177319040).

1829969222400 is an abundant number, since it is smaller than the sum of its proper divisors (5792385415680).

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

1829969222400 is a wasteful number, since it uses less digits than its factorization.

1829969222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2274 (or 2252 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 1829969222400 in words is "one trillion, eight hundred twenty-nine billion, nine hundred sixty-nine million, two hundred twenty-two thousand, four hundred".