1797810404400 has 720 divisors, whose sum is σ = 6764051608704. Its totient is φ = 440463851520.

The previous prime is 1797810404399. The next prime is 1797810404407. The reversal of 1797810404400 is 44040187971.

It is a happy number.

1797810404400 is a `hidden beast` number, since 1 + 7 + 97 + 81 + 0 + 40 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (1797810404407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1774738294 + ... + 1774739306.

Almost surely, 2^{1797810404400} is an apocalyptic number.

1797810404400 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 1797810404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3382025804352).

1797810404400 is an abundant number, since it is smaller than the sum of its proper divisors (4966241204304).

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

1797810404400 is a wasteful number, since it uses less digits than its factorization.

1797810404400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1718 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 1797810404400 in words is "one trillion, seven hundred ninety-seven billion, eight hundred ten million, four hundred four thousand, four hundred".