1287422396400 has 960 divisors, whose sum is σ = 5260327888896. Its totient is φ = 262225920000.

The previous prime is 1287422396387. The next prime is 1287422396459. The reversal of 1287422396400 is 46932247821.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1287422396400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 331722460 + ... + 331726340.

Almost surely, 2^{1287422396400} is an apocalyptic number.

1287422396400 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 1287422396400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2630163944448).

1287422396400 is an abundant number, since it is smaller than the sum of its proper divisors (3972905492496).

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

1287422396400 is a wasteful number, since it uses less digits than its factorization.

1287422396400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4050 (or 4039 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 1287422396400 in words is "one trillion, two hundred eighty-seven billion, four hundred twenty-two million, three hundred ninety-six thousand, four hundred".