1406481150000 has 480 divisors, whose sum is σ = 4717646176320. Its totient is φ = 360622080000.

The previous prime is 1406481149989. The next prime is 1406481150031. The reversal of 1406481150000 is 511846041.

It is a super-4 number, since 4×1406481150000⁴ (a number of 50 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 1406481150000.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1361549484 + ... + 1361550516.

It is an arithmetic number, because the mean of its divisors is an integer number (9828429534).

Almost surely, 2^{1406481150000} is an apocalyptic number.

1406481150000 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 1406481150000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358823088160).

1406481150000 is an abundant number, since it is smaller than the sum of its proper divisors (3311165026320).

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

1406481150000 is a wasteful number, since it uses less digits than its factorization.

1406481150000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

Adding to 1406481150000 its reverse (511846041), we get a palindrome (1406992996041).

The spelling of 1406481150000 in words is "one trillion, four hundred six billion, four hundred eighty-one million, one hundred fifty thousand".