1398151238640 has 320 divisors, whose sum is σ = 4704805123200. Its totient is φ = 341428469760.

The previous prime is 1398151238611. The next prime is 1398151238651. The reversal of 1398151238640 is 468321518931.

It is a super-2 number, since 2×1398151238640² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 554600580 + ... + 554603100.

It is an arithmetic number, because the mean of its divisors is an integer number (14702516010).

Almost surely, 2^{1398151238640} is an apocalyptic number.

1398151238640 is a gapful number since it is divisible by the number (10) 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 1398151238640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352402561600).

1398151238640 is an abundant number, since it is smaller than the sum of its proper divisors (3306653884560).

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

1398151238640 is a wasteful number, since it uses less digits than its factorization.

1398151238640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3892 (or 3886 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 1398151238640 in words is "one trillion, three hundred ninety-eight billion, one hundred fifty-one million, two hundred thirty-eight thousand, six hundred forty".