351040400010400 has 144 divisors (see below), whose sum is σ = 876954965040000. Its totient is φ = 137143179048960.

The previous prime is 351040400010373. The next prime is 351040400010451. The reversal of 351040400010400 is 4010004040153.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 651920476 + ... + 652458724.

It is an arithmetic number, because the mean of its divisors is an integer number (6089965035000).

Almost surely, 2^{351040400010400} 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 351040400010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438477482520000).

351040400010400 is an abundant number, since it is smaller than the sum of its proper divisors (525914565029600).

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

351040400010400 is a wasteful number, since it uses less digits than its factorization.

351040400010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557271 (or 557258 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 351040400010400 its reverse (4010004040153), we get a palindrome (355050404050553).

The spelling of 351040400010400 in words is "three hundred fifty-one trillion, forty billion, four hundred million, ten thousand, four hundred".