1414814361408 has 560 divisors, whose sum is σ = 4951899452544. Its totient is φ = 390969815040.

The previous prime is 1414814361347. The next prime is 1414814361409. The reversal of 1414814361408 is 8041634184141.

1414814361408 is a `hidden beast` number, since 1 + 4 + 1 + 48 + 143 + 61 + 408 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414814361409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 232276443 + ... + 232282533.

Almost surely, 2^{1414814361408} is an apocalyptic number.

1414814361408 is a gapful number since it is divisible by the number (18) 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 1414814361408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2475949726272).

1414814361408 is an abundant number, since it is smaller than the sum of its proper divisors (3537085091136).

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

1414814361408 is a wasteful number, since it uses less digits than its factorization.

1414814361408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6332 (or 6313 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 1414814361408 in words is "one trillion, four hundred fourteen billion, eight hundred fourteen million, three hundred sixty-one thousand, four hundred eight".