40353820012800 has 4860 divisors, whose sum is σ = 193198468256640. Its totient is φ = 8268972687360.

The previous prime is 40353820012799. The next prime is 40353820012811. The reversal of 40353820012800 is 821002835304.

40353820012800 is a `hidden beast` number, since 4 + 0 + 353 + 8 + 20 + 0 + 1 + 280 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 168844435081 + ... + 168844435319.

Almost surely, 2^{40353820012800} is an apocalyptic number.

40353820012800 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 40353820012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96599234128320).

40353820012800 is an abundant number, since it is smaller than the sum of its proper divisors (152844648243840).

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

40353820012800 is a wasteful number, since it uses less digits than its factorization.

40353820012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 40353820012800 in words is "forty trillion, three hundred fifty-three billion, eight hundred twenty million, twelve thousand, eight hundred".