40314005450400 has 576 divisors, whose sum is σ = 144006158016000. Its totient is φ = 9714912768000.

The previous prime is 40314005450371. The next prime is 40314005450483. The reversal of 40314005450400 is 405450041304.

40314005450400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3049694991 + ... + 3049708209.

It is an arithmetic number, because the mean of its divisors is an integer number (250010691000).

Almost surely, 2^{40314005450400} is an apocalyptic number.

40314005450400 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 40314005450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72003079008000).

40314005450400 is an abundant number, since it is smaller than the sum of its proper divisors (103692152565600).

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

40314005450400 is a wasteful number, since it uses less digits than its factorization.

40314005450400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13933 (or 13920 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 40314005450400 its reverse (405450041304), we get a palindrome (40719455491704).

The spelling of 40314005450400 in words is "forty trillion, three hundred fourteen billion, five million, four hundred fifty thousand, four hundred".