40670968320 has 1120 divisors, whose sum is σ = 163158842880. Its totient is φ = 9674588160.

The previous prime is 40670968277. The next prime is 40670968321. The reversal of 40670968320 is 2386907604.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40670968321) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1099215342 + ... + 1099215378.

Almost surely, 2^40670968320 is an apocalyptic number.

40670968320 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 40670968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81579421440).

40670968320 is an abundant number, since it is smaller than the sum of its proper divisors (122487874560).

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

40670968320 is an equidigital number, since it uses as much as digits as its factorization.

40670968320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 40670968320 in words is "forty billion, six hundred seventy million, nine hundred sixty-eight thousand, three hundred twenty".