4070949573600 has 864 divisors, whose sum is σ = 17683432812864. Its totient is φ = 858171801600.

The previous prime is 4070949573563. The next prime is 4070949573671. The reversal of 4070949573600 is 63759490704.

It is a happy number.

4070949573600 is a `hidden beast` number, since 4 + 0 + 7 + 0 + 9 + 4 + 9 + 573 + 60 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1062077284 + ... + 1062081116.

It is an arithmetic number, because the mean of its divisors is an integer number (20466936126).

Almost surely, 2^{4070949573600} is an apocalyptic number.

4070949573600 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 4070949573600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8841716406432).

4070949573600 is an abundant number, since it is smaller than the sum of its proper divisors (13612483239264).

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

4070949573600 is a wasteful number, since it uses less digits than its factorization.

4070949573600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5500 (or 5484 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 4070949573600 in words is "four trillion, seventy billion, nine hundred forty-nine million, five hundred seventy-three thousand, six hundred".