1398173736960 has 2240 divisors, whose sum is σ = 6745929087744. Its totient is φ = 267544166400.

The previous prime is 1398173736959. The next prime is 1398173737033. The reversal of 1398173736960 is 696373718931.

1398173736960 is a `hidden beast` number, since 1 + 398 + 173 + 73 + 6 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

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, 3321077550 + ... + 3321077970.

Almost surely, 2^{1398173736960} is an apocalyptic number.

1398173736960 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 1398173736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3372964543872).

1398173736960 is an abundant number, since it is smaller than the sum of its proper divisors (5347755350784).

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

1398173736960 is a wasteful number, since it uses less digits than its factorization.

1398173736960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 63.

The spelling of 1398173736960 in words is "one trillion, three hundred ninety-eight billion, one hundred seventy-three million, seven hundred thirty-six thousand, nine hundred sixty".