3975401468016 has 160 divisors (see below), whose sum is σ = 12499882813440. Its totient is φ = 1199668147200.

The previous prime is 3975401467967. The next prime is 3975401468069. The reversal of 3975401468016 is 6108641045793.

3975401468016 is a `hidden beast` number, since 3 + 9 + 7 + 540 + 1 + 4 + 6 + 80 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 590400 + ... + 2880863.

It is an arithmetic number, because the mean of its divisors is an integer number (78124267584).

Almost surely, 2^{3975401468016} is an apocalyptic number.

3975401468016 is a gapful number since it is divisible by the number (36) 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 3975401468016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6249941406720).

3975401468016 is an abundant number, since it is smaller than the sum of its proper divisors (8524481345424).

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

3975401468016 is a wasteful number, since it uses less digits than its factorization.

3975401468016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3471532 (or 3471520 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 3975401468016 in words is "three trillion, nine hundred seventy-five billion, four hundred one million, four hundred sixty-eight thousand, sixteen".