40670760960 has 260 divisors, whose sum is σ = 145800356988. Its totient is φ = 10845093888.

The previous prime is 40670760959. The next prime is 40670760989. The reversal of 40670760960 is 6906707604.

It can be written as a sum of positive squares in 2 ways, for example, as 11601874944 + 29068886016 = 107712^2 + 170496^2 .

It is a super-2 number, since 2×40670760960² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1646622 + ... + 1671138.

Almost surely, 2^40670760960 is an apocalyptic number.

40670760960 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 40670760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72900178494).

40670760960 is an abundant number, since it is smaller than the sum of its proper divisors (105129596028).

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

40670760960 is an equidigital number, since it uses as much as digits as its factorization.

40670760960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24558 (or 24527 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 40670760960 in words is "forty billion, six hundred seventy million, seven hundred sixty thousand, nine hundred sixty".