1801434902400 has 1536 divisors, whose sum is σ = 7786108800000. Its totient is φ = 406533980160.

The previous prime is 1801434902389. The next prime is 1801434902411. The reversal of 1801434902400 is 42094341081.

It is a happy number.

1801434902400 is a `hidden beast` number, since 1 + 8 + 0 + 143 + 490 + 24 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1801434902389) and next prime (1801434902411).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2637532459 + ... + 2637533141.

It is an arithmetic number, because the mean of its divisors is an integer number (5069081250).

Almost surely, 2^{1801434902400} is an apocalyptic number.

1801434902400 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 1801434902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3893054400000).

1801434902400 is an abundant number, since it is smaller than the sum of its proper divisors (5984673897600).

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

1801434902400 is an equidigital number, since it uses as much as digits as its factorization.

1801434902400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 1801434902400 in words is "one trillion, eight hundred one billion, four hundred thirty-four million, nine hundred two thousand, four hundred".