4157670400000 has 756 divisors, whose sum is σ = 11628561884562. Its totient is φ = 1485619200000.

The previous prime is 4157670399937. The next prime is 4157670400033. The reversal of 4157670400000 is 40767514.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 9 ways, for example, as 3426467549184 + 731202850816 = 1851072^2 + 855104^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 134118399985 + ... + 134118400015.

Almost surely, 2^{4157670400000} is an apocalyptic number.

4157670400000 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 4157670400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5814280942281).

4157670400000 is an abundant number, since it is smaller than the sum of its proper divisors (7470891484562).

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

4157670400000 is an frugal number, since it uses more digits than its factorization.

4157670400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The spelling of 4157670400000 in words is "four trillion, one hundred fifty-seven billion, six hundred seventy million, four hundred thousand".