1398534408432 has 120 divisors (see below), whose sum is σ = 4708516076160. Its totient is φ = 378550661760.

The previous prime is 1398534408409. The next prime is 1398534408437. The reversal of 1398534408432 is 2348044358931.

1398534408432 is a `hidden beast` number, since 1 + 3 + 98 + 5 + 3 + 440 + 84 + 32 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1398534408437) 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 23 ways as a sum of consecutive naturals, for example, 36492294 + ... + 36530597.

It is an arithmetic number, because the mean of its divisors is an integer number (39237633968).

Almost surely, 2^{1398534408432} is an apocalyptic number.

1398534408432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1398534408432 is an abundant number, since it is smaller than the sum of its proper divisors (3309981667728).

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

1398534408432 is a wasteful number, since it uses less digits than its factorization.

1398534408432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73022931 (or 73022922 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 1398534408432 in words is "one trillion, three hundred ninety-eight billion, five hundred thirty-four million, four hundred eight thousand, four hundred thirty-two".