1398727440 has 480 divisors, whose sum is σ = 5511647232. Its totient is φ = 326592000.

The previous prime is 1398727417. The next prime is 1398727457. The reversal of 1398727440 is 447278931.

1398727440 is a `hidden beast` number, since 139 + 8 + 72 + 7 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6628935 + ... + 6629145.

Almost surely, 2^1398727440 is an apocalyptic number.

1398727440 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 1398727440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2755823616).

1398727440 is an abundant number, since it is smaller than the sum of its proper divisors (4112919792).

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

1398727440 is a wasteful number, since it uses less digits than its factorization.

1398727440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 1398727440 is about 37399.5647033492. The cubic root of 1398727440 is about 1118.3498872350.

The spelling of 1398727440 in words is "one billion, three hundred ninety-eight million, seven hundred twenty-seven thousand, four hundred forty".