1726122560400 has 1440 divisors, whose sum is σ = 7704435098880. Its totient is φ = 358304808960.

The previous prime is 1726122560399. The next prime is 1726122560431. The reversal of 1726122560400 is 40652216271.

It is a happy number.

1726122560400 is a `hidden beast` number, since 1 + 7 + 26 + 1 + 2 + 25 + 604 + 0 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 1080852402 + ... + 1080853998.

It is an arithmetic number, because the mean of its divisors is an integer number (5350302152).

Almost surely, 2^{1726122560400} is an apocalyptic number.

1726122560400 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 1726122560400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3852217549440).

1726122560400 is an abundant number, since it is smaller than the sum of its proper divisors (5978312538480).

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

1726122560400 is a wasteful number, since it uses less digits than its factorization.

1726122560400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 1726122560400 its reverse (40652216271), we get a palindrome (1766774776671).

The spelling of 1726122560400 in words is "one trillion, seven hundred twenty-six billion, one hundred twenty-two million, five hundred sixty thousand, four hundred".