350126400000 has 960 divisors, whose sum is σ = 1303218588672. Its totient is φ = 82944000000.

The previous prime is 350126399941. The next prime is 350126400059. The reversal of 350126400000 is 4621053.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (350126399941) and next prime (350126400059).

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×350126400000³ (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 350126400000.

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, 1934399910 + ... + 1934400090.

Almost surely, 2^350126400000 is an apocalyptic number.

350126400000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350126400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651609294336).

350126400000 is an abundant number, since it is smaller than the sum of its proper divisors (953092188672).

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

350126400000 is an equidigital number, since it uses as much as digits as its factorization.

350126400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The spelling of 350126400000 in words is "three hundred fifty billion, one hundred twenty-six million, four hundred thousand".