40928262144 has 576 divisors, whose sum is σ = 146816167680. Its totient is φ = 9991618560.

The previous prime is 40928262103. The next prime is 40928262211. The reversal of 40928262144 is 44126282904.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 40928262096 and 40928262105.

It is a congruent number.

It is an unprimeable number.

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, 56297109 + ... + 56297835.

It is an arithmetic number, because the mean of its divisors is an integer number (254889180).

Almost surely, 2^40928262144 is an apocalyptic number.

40928262144 is a gapful number since it is divisible by the number (44) 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 40928262144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73408083840).

40928262144 is an abundant number, since it is smaller than the sum of its proper divisors (105887905536).

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

40928262144 is a wasteful number, since it uses less digits than its factorization.

40928262144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 40928262144 in words is "forty billion, nine hundred twenty-eight million, two hundred sixty-two thousand, one hundred forty-four".