1396159416288 has 1152 divisors, whose sum is σ = 5168285740800. Its totient is φ = 355053404160.

The previous prime is 1396159416271. The next prime is 1396159416307. The reversal of 1396159416288 is 8826149516931.

1396159416288 is a `hidden beast` number, since 1 + 3 + 9 + 6 + 1 + 594 + 16 + 28 + 8 = 666.

It is a super-2 number, since 2×1396159416288² (a number of 25 digits) contains 22 as substring.

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

Its product of digits (22394880) is a multiple of the sum of its prime divisors (432).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4968538708 + ... + 4968538988.

It is an arithmetic number, because the mean of its divisors is an integer number (4486359150).

Almost surely, 2^{1396159416288} is an apocalyptic number.

1396159416288 is a gapful number since it is divisible by the number (18) 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 1396159416288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2584142870400).

1396159416288 is an abundant number, since it is smaller than the sum of its proper divisors (3772126324512).

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

1396159416288 is a wasteful number, since it uses less digits than its factorization.

1396159416288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 432 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 63.

The spelling of 1396159416288 in words is "one trillion, three hundred ninety-six billion, one hundred fifty-nine million, four hundred sixteen thousand, two hundred eighty-eight".