40353456000 has 512 divisors, whose sum is σ = 157185100800. Its totient is φ = 9028608000.

The previous prime is 40353455999. The next prime is 40353456029. The reversal of 40353456000 is 65435304.

It is a super-2 number, since 2×40353456000² (a number of 22 digits) contains 22 as substring.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6861061 + ... + 6866939.

It is an arithmetic number, because the mean of its divisors is an integer number (307002150).

Almost surely, 2^40353456000 is an apocalyptic number.

40353456000 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 40353456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78592550400).

40353456000 is an abundant number, since it is smaller than the sum of its proper divisors (116831644800).

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

40353456000 is a wasteful number, since it uses less digits than its factorization.

40353456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5935 (or 5913 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The spelling of 40353456000 in words is "forty billion, three hundred fifty-three million, four hundred fifty-six thousand".