1256226278400 has 660 divisors, whose sum is σ = 4665947520960. Its totient is φ = 333965721600.

The previous prime is 1256226278357. The next prime is 1256226278443. The reversal of 1256226278400 is 48726226521.

1256226278400 is a `hidden beast` number, since 1 + 2 + 562 + 2 + 6 + 2 + 7 + 84 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1256226278357) and next prime (1256226278443).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 872984881 + ... + 872986319.

It is an arithmetic number, because the mean of its divisors is an integer number (7069617456).

Almost surely, 2^{1256226278400} is an apocalyptic number.

1256226278400 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 1256226278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2332973760480).

1256226278400 is an abundant number, since it is smaller than the sum of its proper divisors (3409721242560).

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

1256226278400 is a wasteful number, since it uses less digits than its factorization.

1256226278400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 1256226278400 in words is "one trillion, two hundred fifty-six billion, two hundred twenty-six million, two hundred seventy-eight thousand, four hundred".