1406738855808 has 1280 divisors, whose sum is σ = 5138189844480. Its totient is φ = 376233984000.

The previous prime is 1406738855801. The next prime is 1406738855833. The reversal of 1406738855808 is 8085588376041.

1406738855808 is a `hidden beast` number, since 1 + 4 + 0 + 6 + 73 + 8 + 8 + 558 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1406738855801) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5837090568 + ... + 5837090808.

It is an arithmetic number, because the mean of its divisors is an integer number (4014210816).

Almost surely, 2^{1406738855808} is an apocalyptic number.

1406738855808 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 1406738855808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2569094922240).

1406738855808 is an abundant number, since it is smaller than the sum of its proper divisors (3731450988672).

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

1406738855808 is a wasteful number, since it uses less digits than its factorization.

1406738855808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 63.

The spelling of 1406738855808 in words is "one trillion, four hundred six billion, seven hundred thirty-eight million, eight hundred fifty-five thousand, eight hundred eight".