1745011000400 has 30 divisors (see below), whose sum is σ = 4192388929422. Its totient is φ = 698004400000.

The previous prime is 1745011000387. The next prime is 1745011000441. The reversal of 1745011000400 is 40001105471.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 6167903296 + 1738843097104 = 78536^2 + 1318652^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2181263351 + ... + 2181264150.

Almost surely, 2^{1745011000400} is an apocalyptic number.

1745011000400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1745011000400 is an abundant number, since it is smaller than the sum of its proper divisors (2447377929022).

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

1745011000400 is a wasteful number, since it uses less digits than its factorization.

1745011000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4362527519 (or 4362527508 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

Adding to 1745011000400 its reverse (40001105471), we get a palindrome (1785012105871).

The spelling of 1745011000400 in words is "one trillion, seven hundred forty-five billion, eleven million, four hundred", and thus it is an aban number.