70424046950400 has 3456 divisors, whose sum is σ = 320826810769920. Its totient is φ = 15065284608000.

The previous prime is 70424046950363. The next prime is 70424046950417. The reversal of 70424046950400 is 405964042407.

70424046950400 is a `hidden beast` number, since 7 + 0 + 42 + 40 + 4 + 69 + 504 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 40920421540 + ... + 40920423260.

It is an arithmetic number, because the mean of its divisors is an integer number (92831831820).

Almost surely, 2^{70424046950400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70424046950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160413405384960).

70424046950400 is an abundant number, since it is smaller than the sum of its proper divisors (250402763819520).

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

70424046950400 is a wasteful number, since it uses less digits than its factorization.

70424046950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 70424046950400 in words is "seventy trillion, four hundred twenty-four billion, forty-six million, nine hundred fifty thousand, four hundred".