40846266626256 has 480 divisors, whose sum is σ = 141203462400000. Its totient is φ = 10733606618112.

The previous prime is 40846266626227. The next prime is 40846266626339. The reversal of 40846266626256 is 65262666264804.

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

It is a junction number, because it is equal to n+sod(n) for n = 40846266626193 and 40846266626202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4309127725 + ... + 4309137203.

It is an arithmetic number, because the mean of its divisors is an integer number (294173880000).

Almost surely, 2^{40846266626256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40846266626256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70601731200000).

40846266626256 is an abundant number, since it is smaller than the sum of its proper divisors (100357195773744).

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

40846266626256 is a wasteful number, since it uses less digits than its factorization.

40846266626256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10671 (or 10662 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 63.

The spelling of 40846266626256 in words is "forty trillion, eight hundred forty-six billion, two hundred sixty-six million, six hundred twenty-six thousand, two hundred fifty-six".