40297760783280 has 2560 divisors, whose sum is σ = 189411236904960. Its totient is φ = 7603974144000.

The previous prime is 40297760783261. The next prime is 40297760783281. The reversal of 40297760783280 is 8238706779204.

40297760783280 is a `hidden beast` number, since 4 + 0 + 297 + 7 + 60 + 7 + 8 + 3 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (40297760783281) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 77346949420 + ... + 77346949940.

It is an arithmetic number, because the mean of its divisors is an integer number (73988764416).

Almost surely, 2^{40297760783280} is an apocalyptic number.

40297760783280 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 40297760783280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94705618452480).

40297760783280 is an abundant number, since it is smaller than the sum of its proper divisors (149113476121680).

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

40297760783280 is a wasteful number, since it uses less digits than its factorization.

40297760783280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 40297760783280 in words is "forty trillion, two hundred ninety-seven billion, seven hundred sixty million, seven hundred eighty-three thousand, two hundred eighty".