70220953440 has 288 divisors, whose sum is σ = 276791782176. Its totient is φ = 16021831680.

The previous prime is 70220953399. The next prime is 70220953493. The reversal of 70220953440 is 4435902207.

70220953440 is a `hidden beast` number, since 7 + 0 + 2 + 209 + 5 + 3 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 70220953395 and 70220953404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138894 + ... + 399666.

It is an arithmetic number, because the mean of its divisors is an integer number (961082577).

Almost surely, 2^70220953440 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 70220953440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138395891088).

70220953440 is an abundant number, since it is smaller than the sum of its proper divisors (206570828736).

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

70220953440 is a wasteful number, since it uses less digits than its factorization.

70220953440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260822 (or 260811 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 70220953440 in words is "seventy billion, two hundred twenty million, nine hundred fifty-three thousand, four hundred forty".