1399916499072 has 512 divisors, whose sum is σ = 4709507443200. Its totient is φ = 358530416640.

The previous prime is 1399916499053. The next prime is 1399916499131. The reversal of 1399916499072 is 2709946199931.

It is a super-2 number, since 2×1399916499072² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1399916498988 and 1399916499006.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1139068954 + ... + 1139070182.

It is an arithmetic number, because the mean of its divisors is an integer number (9198256725).

Almost surely, 2^{1399916499072} is an apocalyptic number.

1399916499072 is a gapful number since it is divisible by the number (12) 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 1399916499072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354753721600).

1399916499072 is an abundant number, since it is smaller than the sum of its proper divisors (3309590944128).

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

1399916499072 is a wasteful number, since it uses less digits than its factorization.

1399916499072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2184 (or 2172 counting only the distinct ones).

The product of its (nonzero) digits is 59521392, while the sum is 69.

The spelling of 1399916499072 in words is "one trillion, three hundred ninety-nine billion, nine hundred sixteen million, four hundred ninety-nine thousand, seventy-two".