1398141000 has 320 divisors, whose sum is σ = 5018373360. Its totient is φ = 362880000.

The previous prime is 1398140999. The next prime is 1398141023. The reversal of 1398141000 is 1418931.

It can be written as a sum of positive squares in 8 ways, for example, as 276024996 + 1122116004 = 16614^2 + 33498^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3320790 + ... + 3321210.

Almost surely, 2^1398141000 is an apocalyptic number.

1398141000 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 1398141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509186680).

1398141000 is an abundant number, since it is smaller than the sum of its proper divisors (3620232360).

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

1398141000 is a wasteful number, since it uses less digits than its factorization.

1398141000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1398141000 is about 37391.7236831896. The cubic root of 1398141000 is about 1118.1935697213.

Adding to 1398141000 its reverse (1418931), we get a palindrome (1399559931).

The spelling of 1398141000 in words is "one billion, three hundred ninety-eight million, one hundred forty-one thousand".