1285781217400 has 192 divisors, whose sum is σ = 3035530713600. Its totient is φ = 506468160000.

The previous prime is 1285781217397. The next prime is 1285781217421. The reversal of 1285781217400 is 47121875821.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2928886381 + ... + 2928886819.

It is an arithmetic number, because the mean of its divisors is an integer number (15810055800).

Almost surely, 2^{1285781217400} is an apocalyptic number.

1285781217400 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 1285781217400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517765356800).

1285781217400 is an abundant number, since it is smaller than the sum of its proper divisors (1749749496200).

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

1285781217400 is a wasteful number, since it uses less digits than its factorization.

1285781217400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 46.

The spelling of 1285781217400 in words is "one trillion, two hundred eighty-five billion, seven hundred eighty-one million, two hundred seventeen thousand, four hundred".