1408385164032 has 648 divisors, whose sum is σ = 5184743945472. Its totient is φ = 363570278400.

The previous prime is 1408385164003. The next prime is 1408385164049. The reversal of 1408385164032 is 2304615838041.

1408385164032 is a `hidden beast` number, since 1 + 408 + 3 + 85 + 164 + 0 + 3 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 207386557 + ... + 207393347.

It is an arithmetic number, because the mean of its divisors is an integer number (8001148064).

Almost surely, 2^{1408385164032} is an apocalyptic number.

1408385164032 is a gapful number since it is divisible by the number (12) 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 1408385164032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2592371972736).

1408385164032 is an abundant number, since it is smaller than the sum of its proper divisors (3776358781440).

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

1408385164032 is a wasteful number, since it uses less digits than its factorization.

1408385164032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7005 (or 6981 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 1408385164032 in words is "one trillion, four hundred eight billion, three hundred eighty-five million, one hundred sixty-four thousand, thirty-two".