1400216556560 has 160 divisors (see below), whose sum is σ = 3624829781760. Its totient is φ = 500584955904.

The previous prime is 1400216556553. The next prime is 1400216556581. The reversal of 1400216556560 is 656556120041.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2277752 + ... + 2826408.

It is an arithmetic number, because the mean of its divisors is an integer number (22655186136).

Almost surely, 2^{1400216556560} is an apocalyptic number.

1400216556560 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 1400216556560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812414890880).

1400216556560 is an abundant number, since it is smaller than the sum of its proper divisors (2224613225200).

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

1400216556560 is a wasteful number, since it uses less digits than its factorization.

1400216556560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548785 (or 548779 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 41.

The spelling of 1400216556560 in words is "one trillion, four hundred billion, two hundred sixteen million, five hundred fifty-six thousand, five hundred sixty".