4070261744640 has 1056 divisors, whose sum is σ = 17401192623360. Its totient is φ = 856643862528.

The previous prime is 4070261744639. The next prime is 4070261744641. The reversal of 4070261744640 is 464471620704.

It is a happy number.

4070261744640 is a `hidden beast` number, since 40 + 70 + 2 + 61 + 7 + 446 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (4070261744639) and next prime (4070261744641).

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

It is not an unprimeable number, because it can be changed into a prime (4070261744641) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2134378567 + ... + 2134380473.

Almost surely, 2^{4070261744640} is an apocalyptic number.

4070261744640 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 4070261744640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8700596311680).

4070261744640 is an abundant number, since it is smaller than the sum of its proper divisors (13330930878720).

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

4070261744640 is a wasteful number, since it uses less digits than its factorization.

4070261744640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2467 (or 2446 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 4070261744640 in words is "four trillion, seventy billion, two hundred sixty-one million, seven hundred forty-four thousand, six hundred forty".