1398157907328 has 1152 divisors, whose sum is σ = 5456310724800. Its totient is φ = 334925660160.

The previous prime is 1398157907249. The next prime is 1398157907347. The reversal of 1398157907328 is 8237097518931.

1398157907328 is a `hidden beast` number, since 1 + 39 + 8 + 1 + 579 + 0 + 7 + 3 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-4 number, since 4×1398157907328⁴ (a number of 50 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 671867248 + ... + 671869328.

Almost surely, 2^{1398157907328} is an apocalyptic number.

1398157907328 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 1398157907328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2728155362400).

1398157907328 is an abundant number, since it is smaller than the sum of its proper divisors (4058152817472).

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

1398157907328 is a wasteful number, since it uses less digits than its factorization.

1398157907328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 1398157907328 in words is "one trillion, three hundred ninety-eight billion, one hundred fifty-seven million, nine hundred seven thousand, three hundred twenty-eight".