40673798256 has 640 divisors, whose sum is σ = 145910661120. Its totient is φ = 9447653376.

The previous prime is 40673798251. The next prime is 40673798281. The reversal of 40673798256 is 65289737604.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 40673798196 and 40673798205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40673798251) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 179179615 + ... + 179179841.

It is an arithmetic number, because the mean of its divisors is an integer number (227985408).

Almost surely, 2^40673798256 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 40673798256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72955330560).

40673798256 is an abundant number, since it is smaller than the sum of its proper divisors (105236862864).

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

40673798256 is a wasteful number, since it uses less digits than its factorization.

40673798256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 57.

The spelling of 40673798256 in words is "forty billion, six hundred seventy-three million, seven hundred ninety-eight thousand, two hundred fifty-six".