1455971559408 has 120 divisors (see below), whose sum is σ = 4104361018368. Its totient is φ = 481803227136.

The previous prime is 1455971559397. The next prime is 1455971559437. The reversal of 1455971559408 is 8049551795541.

It is a happy number.

1455971559408 is a `hidden beast` number, since 1 + 4 + 5 + 5 + 9 + 71 + 559 + 4 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11242641 + ... + 11371407.

Almost surely, 2^{1455971559408} is an apocalyptic number.

1455971559408 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 1455971559408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2052180509184).

1455971559408 is an abundant number, since it is smaller than the sum of its proper divisors (2648389458960).

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

1455971559408 is a wasteful number, since it uses less digits than its factorization.

1455971559408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129351 (or 129342 counting only the distinct ones).

The product of its (nonzero) digits is 45360000, while the sum is 63.

The spelling of 1455971559408 in words is "one trillion, four hundred fifty-five billion, nine hundred seventy-one million, five hundred fifty-nine thousand, four hundred eight".