4070606400 has 630 divisors, whose sum is σ = 17432539938. Its totient is φ = 928972800.

The previous prime is 4070606399. The next prime is 4070606443. The reversal of 4070606400 is 46060704.

It can be written as a sum of positive squares in 3 ways, for example, as 884229696 + 3186376704 = 29736^2 + 56448^2 .

It is a tau number, because it is divible by the number of its divisors (630).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 6350080 + ... + 6350720.

Almost surely, 2^4070606400 is an apocalyptic number.

4070606400 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 4070606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8716269969).

4070606400 is an abundant number, since it is smaller than the sum of its proper divisors (13361933538).

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

4070606400 is a wasteful number, since it uses less digits than its factorization.

4070606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 4070606400 is about 63801.3040619077. The cubic root of 4070606400 is about 1596.6866851181.

The spelling of 4070606400 in words is "four billion, seventy million, six hundred six thousand, four hundred".