1406506002000 has 640 divisors, whose sum is σ = 5021335328256. Its totient is φ = 335872000000.

The previous prime is 1406506001947. The next prime is 1406506002007. The reversal of 1406506002000 is 2006056041.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1406506002007) 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 127 ways as a sum of consecutive naturals, for example, 1713161590 + ... + 1713162410.

Almost surely, 2^{1406506002000} is an apocalyptic number.

1406506002000 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 1406506002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2510667664128).

1406506002000 is an abundant number, since it is smaller than the sum of its proper divisors (3614829326256).

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

1406506002000 is a wasteful number, since it uses less digits than its factorization.

1406506002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 1406506002000 in words is "one trillion, four hundred six billion, five hundred six million, two thousand".