10070048440800 has 216 divisors, whose sum is σ = 35529740326080. Its totient is φ = 2683816243200.

The previous prime is 10070048440789. The next prime is 10070048440831. The reversal of 10070048440800 is 804484007001.

It is a happy number.

10070048440800 is a `hidden beast` number, since 100 + 70 + 0 + 4 + 84 + 408 + 0 + 0 = 666.

It is a super-2 number, since 2×10070048440800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12267240 + ... + 13062360.

Almost surely, 2^{10070048440800} is an apocalyptic number.

10070048440800 is a gapful number since it is divisible by the number (10) 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 10070048440800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17764870163040).

10070048440800 is an abundant number, since it is smaller than the sum of its proper divisors (25459691885280).

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

10070048440800 is a wasteful number, since it uses less digits than its factorization.

10070048440800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796906 (or 796890 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 10070048440800 in words is "ten trillion, seventy billion, forty-eight million, four hundred forty thousand, eight hundred".