3914740401000 has 512 divisors, whose sum is σ = 14522318254080. Its totient is φ = 865463424000.

The previous prime is 3914740400981. The next prime is 3914740401001. The reversal of 3914740401000 is 1040474193.

3914740401000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (3914740401001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35552029 + ... + 35661971.

It is an arithmetic number, because the mean of its divisors is an integer number (28363902840).

Almost surely, 2^{3914740401000} is an apocalyptic number.

3914740401000 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 3914740401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7261159127040).

3914740401000 is an abundant number, since it is smaller than the sum of its proper divisors (10607577853080).

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

3914740401000 is a wasteful number, since it uses less digits than its factorization.

3914740401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110074 (or 110060 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

Adding to 3914740401000 its reverse (1040474193), we get a palindrome (3915780875193).

The spelling of 3914740401000 in words is "three trillion, nine hundred fourteen billion, seven hundred forty million, four hundred one thousand".