40342201414344 has 48 divisors (see below), whose sum is σ = 115687195235820. Its totient is φ = 12656376913920.

The previous prime is 40342201414303. The next prime is 40342201414387. The reversal of 40342201414344 is 44341410224304.

40342201414344 is a `hidden beast` number, since 4 + 0 + 3 + 4 + 2 + 201 + 414 + 34 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39133657376100 + 1208544038244 = 6255690^2 + 1099338^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 40342201414299 and 40342201414308.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16479656217 + ... + 16479658664.

Almost surely, 2^{40342201414344} is an apocalyptic number.

It is an amenable number.

40342201414344 is an abundant number, since it is smaller than the sum of its proper divisors (75344993821476).

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

40342201414344 is a wasteful number, since it uses less digits than its factorization.

40342201414344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32959314910 (or 32959314903 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 40342201414344 its reverse (44341410224304), we get a palindrome (84683611638648).

The spelling of 40342201414344 in words is "forty trillion, three hundred forty-two billion, two hundred one million, four hundred fourteen thousand, three hundred forty-four".