1026250041600 has 1701 divisors, whose sum is σ = 4497349512537. Its totient is φ = 231070371840.

The previous prime is 1026250041569. The next prime is 1026250041631. The reversal of 1026250041600 is 61400526201.

The square root of 1026250041600 is 1013040.

It is a perfect power (a square), and thus also a powerful number.

1026250041600 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 2 + 50 + 0 + 4 + 1 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (1026250041569) and next prime (1026250041631).

It can be written as a sum of positive squares in only one way, i.e., 369450014976 + 656800026624 = 607824^2 + 810432^2 .

It is a tau number, because it is divible by the number of its divisors (1701).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 15317164767 + ... + 15317164833.

Almost surely, 2^{1026250041600} is an apocalyptic number.

1026250041600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1026250041600 is the 1013040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1026250041600

1026250041600 is an abundant number, since it is smaller than the sum of its proper divisors (3471099470937).

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

1026250041600 is an frugal number, since it uses more digits than its factorization.

1026250041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 1026250041600 its reverse (61400526201), we get a palindrome (1087650567801).

It can be divided in two parts, 10262500 and 41600, that added together give a square (10304100 = 3210²).

The spelling of 1026250041600 in words is "one trillion, twenty-six billion, two hundred fifty million, forty-one thousand, six hundred".