40134314304000 has 480 divisors, whose sum is σ = 165207187956096. Its totient is φ = 9173556633600.

The previous prime is 40134314303987. The next prime is 40134314304031. The reversal of 40134314304000 is 40341343104.

40134314304000 is a `hidden beast` number, since 4 + 0 + 1 + 343 + 14 + 304 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×40134314304000² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 944974 + ... + 9008973.

Almost surely, 2^{40134314304000} is an apocalyptic number.

40134314304000 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 40134314304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82603593978048).

40134314304000 is an abundant number, since it is smaller than the sum of its proper divisors (125072873652096).

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

40134314304000 is an equidigital number, since it uses as much as digits as its factorization.

40134314304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9953993 (or 9953964 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 40134314304000 its reverse (40341343104), we get a palindrome (40174655647104).

The spelling of 40134314304000 in words is "forty trillion, one hundred thirty-four billion, three hundred fourteen million, three hundred four thousand".