40894464000 has 384 divisors, whose sum is σ = 146565750240. Its totient is φ = 10066329600.

The previous prime is 40894463923. The next prime is 40894464041. The reversal of 40894464000 is 46449804.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 40894464000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3145727994 + ... + 3145728006.

Almost surely, 2^40894464000 is an apocalyptic number.

40894464000 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 40894464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73282875120).

40894464000 is an abundant number, since it is smaller than the sum of its proper divisors (105671286240).

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

40894464000 is an frugal number, since it uses more digits than its factorization.

40894464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 40894464000 in words is "forty billion, eight hundred ninety-four million, four hundred sixty-four thousand".