1829549030400 has 4224 divisors, whose sum is σ = 9210910464000. Its totient is φ = 344834703360.

The previous prime is 1829549030381. The next prime is 1829549030461. The reversal of 1829549030400 is 40309459281.

1829549030400 is a `hidden beast` number, since 1 + 8 + 2 + 95 + 490 + 30 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 31009305571 + ... + 31009305629.

Almost surely, 2^{1829549030400} is an apocalyptic number.

1829549030400 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 1829549030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4605455232000).

1829549030400 is an abundant number, since it is smaller than the sum of its proper divisors (7381361433600).

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

1829549030400 is a wasteful number, since it uses less digits than its factorization.

1829549030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 1829549030400 in words is "one trillion, eight hundred twenty-nine billion, five hundred forty-nine million, thirty thousand, four hundred".