334004215440 has 120 divisors (see below), whose sum is σ = 1204460141760. Its totient is φ = 76343817984.

The previous prime is 334004215429. The next prime is 334004215463. The reversal of 334004215440 is 44512400433.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×334004215440² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 334004215398 and 334004215407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14189100 + ... + 14212619.

It is an arithmetic number, because the mean of its divisors is an integer number (10037167848).

Almost surely, 2^334004215440 is an apocalyptic number.

334004215440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

334004215440 is an abundant number, since it is smaller than the sum of its proper divisors (870455926320).

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

334004215440 is a wasteful number, since it uses less digits than its factorization.

334004215440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28401749 (or 28401736 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 334004215440 its reverse (44512400433), we get a palindrome (378516615873).

The spelling of 334004215440 in words is "three hundred thirty-four billion, four million, two hundred fifteen thousand, four hundred forty".