1414011441920 has 576 divisors, whose sum is σ = 4372712128512. Its totient is φ = 425170944000.

The previous prime is 1414011441917. The next prime is 1414011442003. The reversal of 1414011441920 is 291441104141.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1426852625 + ... + 1426853615.

It is an arithmetic number, because the mean of its divisors is an integer number (7591514112).

Almost surely, 2^{1414011441920} is an apocalyptic number.

1414011441920 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 1414011441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2186356064256).

1414011441920 is an abundant number, since it is smaller than the sum of its proper divisors (2958700686592).

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

1414011441920 is a wasteful number, since it uses less digits than its factorization.

1414011441920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The spelling of 1414011441920 in words is "one trillion, four hundred fourteen billion, eleven million, four hundred forty-one thousand, nine hundred twenty".