4078309376000 has 256 divisors, whose sum is σ = 10237404799440. Its totient is φ = 1622016000000.

The previous prime is 4078309375951. The next prime is 4078309376003. The reversal of 4078309376000 is 6739038704.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 109990395904 + 3968318980096 = 331648^2 + 1992064^2 .

It is a tau number, because it is divible by the number of its divisors (256).

It is not an unprimeable number, because it can be changed into a prime (4078309376003) 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, 741373250 + ... + 741378750.

Almost surely, 2^{4078309376000} is an apocalyptic number.

4078309376000 is a gapful number since it is divisible by the number (40) 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 4078309376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5118702399720).

4078309376000 is an abundant number, since it is smaller than the sum of its proper divisors (6159095423440).

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

4078309376000 is an frugal number, since it uses more digits than its factorization.

4078309376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5727 (or 5689 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 47.

The spelling of 4078309376000 in words is "four trillion, seventy-eight billion, three hundred nine million, three hundred seventy-six thousand".