40997167263360 has 3072 divisors, whose sum is σ = 193517619609600. Its totient is φ = 7804167782400.

The previous prime is 40997167263323. The next prime is 40997167263361. The reversal of 40997167263360 is 6336276179904.

40997167263360 is a `hidden beast` number, since 4 + 0 + 9 + 9 + 7 + 1 + 6 + 7 + 263 + 360 = 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 (40997167263361) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 31609226232 + ... + 31609227528.

It is an arithmetic number, because the mean of its divisors is an integer number (62994016800).

Almost surely, 2^{40997167263360} is an apocalyptic number.

40997167263360 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 40997167263360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96758809804800).

40997167263360 is an abundant number, since it is smaller than the sum of its proper divisors (152520452346240).

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

40997167263360 is a wasteful number, since it uses less digits than its factorization.

40997167263360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 61725888, while the sum is 63.

The spelling of 40997167263360 in words is "forty trillion, nine hundred ninety-seven billion, one hundred sixty-seven million, two hundred sixty-three thousand, three hundred sixty".