40845863520000 has 4050 divisors, whose sum is σ = 194372702756232. Its totient is φ = 8348313600000.

The previous prime is 40845863519963. The next prime is 40845863520047. The reversal of 40845863520000 is 2536854804.

40845863520000 is a `hidden beast` number, since 4 + 0 + 8 + 4 + 5 + 8 + 635 + 2 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4050).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 449 ways as a sum of consecutive naturals, for example, 669604319970 + ... + 669604320030.

Almost surely, 2^{40845863520000} is an apocalyptic number.

40845863520000 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 40845863520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97186351378116).

40845863520000 is an abundant number, since it is smaller than the sum of its proper divisors (153526839236232).

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

40845863520000 is an frugal number, since it uses more digits than its factorization.

40845863520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 40845863520000 in words is "forty trillion, eight hundred forty-five billion, eight hundred sixty-three million, five hundred twenty thousand".