1398504253440 has 384 divisors, whose sum is σ = 5238028373760. Its totient is φ = 311859609600.

The previous prime is 1398504253417. The next prime is 1398504253441. The reversal of 1398504253440 is 443524058931.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1398504253440.

It is not an unprimeable number, because it can be changed into a prime (1398504253441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8737330 + ... + 8895950.

It is an arithmetic number, because the mean of its divisors is an integer number (13640698890).

Almost surely, 2^{1398504253440} is an apocalyptic number.

1398504253440 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 1398504253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2619014186880).

1398504253440 is an abundant number, since it is smaller than the sum of its proper divisors (3839524120320).

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

1398504253440 is a wasteful number, since it uses less digits than its factorization.

1398504253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158699 (or 158679 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 1398504253440 in words is "one trillion, three hundred ninety-eight billion, five hundred four million, two hundred fifty-three thousand, four hundred forty".