3914420711040 has 768 divisors, whose sum is σ = 16271993088000. Its totient is φ = 865849098240.

The previous prime is 3914420710973. The next prime is 3914420711057. The reversal of 3914420711040 is 401170244193.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3914420710986 and 3914420711004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61214124 + ... + 61278036.

It is an arithmetic number, because the mean of its divisors is an integer number (21187491000).

Almost surely, 2^{3914420711040} is an apocalyptic number.

3914420711040 is a gapful number since it is divisible by the number (30) 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 3914420711040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8135996544000).

3914420711040 is an abundant number, since it is smaller than the sum of its proper divisors (12357572376960).

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

3914420711040 is a wasteful number, since it uses less digits than its factorization.

3914420711040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63990 (or 63961 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 3914420711040 in words is "three trillion, nine hundred fourteen billion, four hundred twenty million, seven hundred eleven thousand, forty".