334224551400440 has 96 divisors (see below), whose sum is σ = 770819523261840. Its totient is φ = 130424806164480.

The previous prime is 334224551400431. The next prime is 334224551400449. The reversal of 334224551400440 is 44004155422433.

It is an interprime number because it is at equal distance from previous prime (334224551400431) and next prime (334224551400449).

It is a super-2 number, since 2×334224551400440² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334224551400449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2718250004 + ... + 2718372956.

Almost surely, 2^{334224551400440} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334224551400440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385409761630920).

334224551400440 is an abundant number, since it is smaller than the sum of its proper divisors (436594971861400).

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

334224551400440 is a wasteful number, since it uses less digits than its factorization.

334224551400440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163473 (or 163428 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 41.

The spelling of 334224551400440 in words is "three hundred thirty-four trillion, two hundred twenty-four billion, five hundred fifty-one million, four hundred thousand, four hundred forty".