400785216000 has 640 divisors, whose sum is σ = 1443707096832. Its totient is φ = 98058240000.

The previous prime is 400785215993. The next prime is 400785216049. The reversal of 400785216000 is 612587004.

It is a tau number, because it is divible by the number of its divisors (640).

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 63 ways as a sum of consecutive naturals, for example, 526655620 + ... + 526656380.

Almost surely, 2^400785216000 is an apocalyptic number.

400785216000 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 400785216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721853548416).

400785216000 is an abundant number, since it is smaller than the sum of its proper divisors (1042921880832).

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

400785216000 is a wasteful number, since it uses less digits than its factorization.

400785216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 400785216000 in words is "four hundred billion, seven hundred eighty-five million, two hundred sixteen thousand".