1256833026400 has 216 divisors, whose sum is σ = 3582781781040. Its totient is φ = 429272202240.

The previous prime is 1256833026391. The next prime is 1256833026409. The reversal of 1256833026400 is 46203386521.

It is an interprime number because it is at equal distance from previous prime (1256833026391) and next prime (1256833026409).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1256833026409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10248646 + ... + 10370554.

It is an arithmetic number, because the mean of its divisors is an integer number (16586952690).

Almost surely, 2^{1256833026400} is an apocalyptic number.

1256833026400 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 1256833026400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1791390890520).

1256833026400 is an abundant number, since it is smaller than the sum of its proper divisors (2325948754640).

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

1256833026400 is a wasteful number, since it uses less digits than its factorization.

1256833026400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122206 (or 122186 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 1256833026400 in words is "one trillion, two hundred fifty-six billion, eight hundred thirty-three million, twenty-six thousand, four hundred".