40097078215680 has 352 divisors, whose sum is σ = 131878483966080. Its totient is φ = 10390587310080.

The previous prime is 40097078215669. The next prime is 40097078215681. The reversal of 40097078215680 is 8651287079004.

It is a super-2 number, since 2×40097078215680² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40097078215680.

It is not an unprimeable number, because it can be changed into a prime (40097078215681) 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 31 ways as a sum of consecutive naturals, for example, 459727275 + ... + 459814485.

Almost surely, 2^{40097078215680} is an apocalyptic number.

40097078215680 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 40097078215680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65939241983040).

40097078215680 is an abundant number, since it is smaller than the sum of its proper divisors (91781405750400).

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

40097078215680 is a wasteful number, since it uses less digits than its factorization.

40097078215680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88085 (or 88067 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 57.

The spelling of 40097078215680 in words is "forty trillion, ninety-seven billion, seventy-eight million, two hundred fifteen thousand, six hundred eighty".