1398249462240 has 960 divisors, whose sum is σ = 5448164198400. Its totient is φ = 336144162816.

The previous prime is 1398249462209. The next prime is 1398249462293. The reversal of 1398249462240 is 422649428931.

1398249462240 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 2 + 4 + 9 + 4 + 622 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1353580764 + ... + 1353581796.

It is an arithmetic number, because the mean of its divisors is an integer number (5675171040).

Almost surely, 2^{1398249462240} is an apocalyptic number.

1398249462240 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 1398249462240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2724082099200).

1398249462240 is an abundant number, since it is smaller than the sum of its proper divisors (4049914736160).

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

1398249462240 is a wasteful number, since it uses less digits than its factorization.

1398249462240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 1398249462240 in words is "one trillion, three hundred ninety-eight billion, two hundred forty-nine million, four hundred sixty-two thousand, two hundred forty".