351405411400 has 96 divisors (see below), whose sum is σ = 825877140480. Its totient is φ = 139039488000.

The previous prime is 351405411397. The next prime is 351405411403. The reversal of 351405411400 is 4114504153.

It is an interprime number because it is at equal distance from previous prime (351405411397) and next prime (351405411403).

It is a super-2 number, since 2×351405411400² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (351405411403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50261905 + ... + 50268895.

It is an arithmetic number, because the mean of its divisors is an integer number (8602886880).

Almost surely, 2^351405411400 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 351405411400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412938570240).

351405411400 is an abundant number, since it is smaller than the sum of its proper divisors (474471729080).

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

351405411400 is a wasteful number, since it uses less digits than its factorization.

351405411400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9695 (or 9686 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 351405411400 its reverse (4114504153), we get a palindrome (355519915553).

The spelling of 351405411400 in words is "three hundred fifty-one billion, four hundred five million, four hundred eleven thousand, four hundred".