40396224000 has 640 divisors, whose sum is σ = 151488589824. Its totient is φ = 9461760000.

The previous prime is 40396223999. The next prime is 40396224073. The reversal of 40396224000 is 42269304.

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

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65471692 + ... + 65472308.

Almost surely, 2^40396224000 is an apocalyptic number.

40396224000 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 40396224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75744294912).

40396224000 is an abundant number, since it is smaller than the sum of its proper divisors (111092365824).

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

40396224000 is a wasteful number, since it uses less digits than its factorization.

40396224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 40396224000 in words is "forty billion, three hundred ninety-six million, two hundred twenty-four thousand".