40319652220848 has 5040 divisors, whose sum is σ = 177338829588480. Its totient is φ = 8646663168000.

The previous prime is 40319652220823. The next prime is 40319652220853. The reversal of 40319652220848 is 84802225691304.

40319652220848 is a `hidden beast` number, since 4 + 0 + 3 + 1 + 96 + 522 + 20 + 8 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 40319652220794 and 40319652220803.

It is an unprimeable number.

It is a polite number, since it can be written in 1007 ways as a sum of consecutive naturals, for example, 983406151708 + ... + 983406151748.

It is an arithmetic number, because the mean of its divisors is an integer number (35186275712).

Almost surely, 2^{40319652220848} is an apocalyptic number.

40319652220848 is a gapful number since it is divisible by the number (48) 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 40319652220848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88669414794240).

40319652220848 is an abundant number, since it is smaller than the sum of its proper divisors (137019177367632).

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

40319652220848 is a wasteful number, since it uses less digits than its factorization.

40319652220848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 40319652220848 in words is "forty trillion, three hundred nineteen billion, six hundred fifty-two million, two hundred twenty thousand, eight hundred forty-eight".