1406106042000 has 640 divisors, whose sum is σ = 5130249785856. Its totient is φ = 328320000000.

The previous prime is 1406106041957. The next prime is 1406106042049. The reversal of 1406106042000 is 2406016041.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 246639150 + ... + 246644850.

Almost surely, 2^{1406106042000} is an apocalyptic number.

1406106042000 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 1406106042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2565124892928).

1406106042000 is an abundant number, since it is smaller than the sum of its proper divisors (3724143743856).

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

1406106042000 is a wasteful number, since it uses less digits than its factorization.

1406106042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5876 (or 5860 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 1406106042000 in words is "one trillion, four hundred six billion, one hundred six million, forty-two thousand".