40345200254304 has 144 divisors (see below), whose sum is σ = 125817113769984. Its totient is φ = 12161808556800.

The previous prime is 40345200254291. The next prime is 40345200254309.

40345200254304 is a `hidden beast` number, since 4 + 0 + 345 + 2 + 0 + 0 + 2 + 5 + 4 + 304 = 666.

40345200254304 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40345200254309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32733204 + ... + 33943379.

It is an arithmetic number, because the mean of its divisors is an integer number (873729956736).

Almost surely, 2^{40345200254304} is an apocalyptic number.

40345200254304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40345200254304 is an abundant number, since it is smaller than the sum of its proper divisors (85471913515680).

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

40345200254304 is a wasteful number, since it uses less digits than its factorization.

40345200254304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66676801 (or 66676790 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

It can be divided in two parts, 40345200 and 254304, that added together give a palindrome (40599504).

The spelling of 40345200254304 in words is "forty trillion, three hundred forty-five billion, two hundred million, two hundred fifty-four thousand, three hundred four".