40348571860800 has 1344 divisors, whose sum is σ = 174327880634880. Its totient is φ = 8997366988800.

The previous prime is 40348571860799. The next prime is 40348571860819. The reversal of 40348571860800 is 806817584304.

40348571860800 is a `hidden beast` number, since 4 + 0 + 3 + 4 + 8 + 571 + 8 + 60 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×40348571860800² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1004250312 + ... + 1004290488.

It is an arithmetic number, because the mean of its divisors is an integer number (129708244520).

Almost surely, 2^{40348571860800} is an apocalyptic number.

40348571860800 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 40348571860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87163940317440).

40348571860800 is an abundant number, since it is smaller than the sum of its proper divisors (133979308774080).

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

40348571860800 is an equidigital number, since it uses as much as digits as its factorization.

40348571860800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40268 (or 40235 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 40348571860800 in words is "forty trillion, three hundred forty-eight billion, five hundred seventy-one million, eight hundred sixty thousand, eight hundred".