1408134000672 has 96 divisors (see below), whose sum is σ = 4693780022400. Its totient is φ = 402323998464.

The previous prime is 1408134000667. The next prime is 1408134000677. The reversal of 1408134000672 is 2760004318041.

It is an interprime number because it is at equal distance from previous prime (1408134000667) and next prime (1408134000677).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1408134000677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116407147 + ... + 116419242.

It is an arithmetic number, because the mean of its divisors is an integer number (48893541900).

Almost surely, 2^{1408134000672} is an apocalyptic number.

1408134000672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1408134000672 is an abundant number, since it is smaller than the sum of its proper divisors (3285646021728).

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

1408134000672 is a wasteful number, since it uses less digits than its factorization.

1408134000672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232826415 (or 232826401 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 1408134000672 in words is "one trillion, four hundred eight billion, one hundred thirty-four million, six hundred seventy-two", and thus it is an aban number.