1436868686340 has 288 divisors, whose sum is σ = 4694492275200. Its totient is φ = 354800590848.

The previous prime is 1436868686321. The next prime is 1436868686359. The reversal of 1436868686340 is 436868686341.

1436868686340 is a `hidden beast` number, since 1 + 436 + 8 + 6 + 86 + 86 + 3 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1436868686321) and next prime (1436868686359).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30459252 + ... + 30506388.

It is an arithmetic number, because the mean of its divisors is an integer number (16300320400).

Almost surely, 2^{1436868686340} is an apocalyptic number.

1436868686340 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 1436868686340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2347246137600).

1436868686340 is an abundant number, since it is smaller than the sum of its proper divisors (3257623588860).

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

1436868686340 is a wasteful number, since it uses less digits than its factorization.

1436868686340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47411 (or 47406 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 63.

Subtracting from 1436868686340 its reverse (436868686341), we obtain a palindrome (999999999999).

The spelling of 1436868686340 in words is "one trillion, four hundred thirty-six billion, eight hundred sixty-eight million, six hundred eighty-six thousand, three hundred forty".