1254263270400 has 1584 divisors, whose sum is σ = 5547106346400. Its totient is φ = 276586168320.

The previous prime is 1254263270383. The next prime is 1254263270423. The reversal of 1254263270400 is 40723624521.

1254263270400 is a `hidden beast` number, since 1 + 2 + 542 + 6 + 3 + 2 + 70 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 982194562 + ... + 982195838.

Almost surely, 2^{1254263270400} is an apocalyptic number.

1254263270400 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 1254263270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2773553173200).

1254263270400 is an abundant number, since it is smaller than the sum of its proper divisors (4292843076000).

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

1254263270400 is a wasteful number, since it uses less digits than its factorization.

1254263270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 1254263270400 its reverse (40723624521), we get a palindrome (1294986894921).

The spelling of 1254263270400 in words is "one trillion, two hundred fifty-four billion, two hundred sixty-three million, two hundred seventy thousand, four hundred".