40000003968 has 128 divisors (see below), whose sum is σ = 109219013280. Its totient is φ = 12965249024.

The previous prime is 40000003963. The next prime is 40000003999. The reversal of 40000003968 is 86930000004.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40000003963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2291080 + ... + 2308472.

Almost surely, 2^40000003968 is an apocalyptic number.

40000003968 is a gapful number since it is divisible by the number (48) 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 40000003968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54609506640).

40000003968 is an abundant number, since it is smaller than the sum of its proper divisors (69219009312).

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

40000003968 is a wasteful number, since it uses less digits than its factorization.

40000003968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17576 (or 17564 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 40000003968 in words is "forty billion, three thousand, nine hundred sixty-eight".