1414150216000 has 224 divisors, whose sum is σ = 3668123646720. Its totient is φ = 539035904000.

The previous prime is 1414150215983. The next prime is 1414150216001. The reversal of 1414150216000 is 6120514141.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414150216001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49481715 + ... + 49510285.

Almost surely, 2^{1414150216000} is an apocalyptic number.

1414150216000 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 1414150216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1834061823360).

1414150216000 is an abundant number, since it is smaller than the sum of its proper divisors (2253973430720).

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

1414150216000 is a wasteful number, since it uses less digits than its factorization.

1414150216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28890 (or 28870 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The spelling of 1414150216000 in words is "one trillion, four hundred fourteen billion, one hundred fifty million, two hundred sixteen thousand".