1406522880000 has 3120 divisors, whose sum is σ = 6706282302720. Its totient is φ = 286654464000.

The previous prime is 1406522879933. The next prime is 1406522880001. The reversal of 1406522880000 is 882256041.

It is a super-2 number, since 2×1406522880000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1406522880001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 74027519991 + ... + 74027520009.

It is an arithmetic number, because the mean of its divisors is an integer number (2149449456).

Almost surely, 2^{1406522880000} is an apocalyptic number.

1406522880000 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 1406522880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3353141151360).

1406522880000 is an abundant number, since it is smaller than the sum of its proper divisors (5299759422720).

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

1406522880000 is an frugal number, since it uses more digits than its factorization.

1406522880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 1406522880000 in words is "one trillion, four hundred six billion, five hundred twenty-two million, eight hundred eighty thousand".