40968806400 has 672 divisors, whose sum is σ = 156018585600. Its totient is φ = 10528358400.

The previous prime is 40968806353. The next prime is 40968806407. The reversal of 40968806400 is 460886904.

It is a happy number.

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 (40968806407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171417481 + ... + 171417719.

Almost surely, 2^40968806400 is an apocalyptic number.

40968806400 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 40968806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78009292800).

40968806400 is an abundant number, since it is smaller than the sum of its proper divisors (115049779200).

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

40968806400 is a wasteful number, since it uses less digits than its factorization.

40968806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 40968806400 in words is "forty billion, nine hundred sixty-eight million, eight hundred six thousand, four hundred".