350154214304440 has 384 divisors, whose sum is σ = 990359132112000. Its totient is φ = 110438515998720.

The previous prime is 350154214304429. The next prime is 350154214304509. The reversal of 350154214304440 is 44403412451053.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 350154214304393 and 350154214304402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8806454160 + ... + 8806493920.

It is an arithmetic number, because the mean of its divisors is an integer number (2579060239875).

Almost surely, 2^{350154214304440} 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 350154214304440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495179566056000).

350154214304440 is an abundant number, since it is smaller than the sum of its proper divisors (640204917807560).

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

350154214304440 is a wasteful number, since it uses less digits than its factorization.

350154214304440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40975 (or 40964 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

Adding to 350154214304440 its reverse (44403412451053), we get a palindrome (394557626755493).

The spelling of 350154214304440 in words is "three hundred fifty trillion, one hundred fifty-four billion, two hundred fourteen million, three hundred four thousand, four hundred forty".