350400024000000 has 840 divisors, whose sum is σ = 1361322242039760. Its totient is φ = 86252083200000.

The previous prime is 350400023999969. The next prime is 350400024000001. The reversal of 350400024000000 is 420004053.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350400024000001) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 935812821 + ... + 936187179.

It is an arithmetic number, because the mean of its divisors is an integer number (1620621716714).

Almost surely, 2^{350400024000000} is an apocalyptic number.

350400024000000 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 350400024000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680661121019880).

350400024000000 is an abundant number, since it is smaller than the sum of its proper divisors (1010922218039760).

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

350400024000000 is an frugal number, since it uses more digits than its factorization.

350400024000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374426 (or 374382 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

Adding to 350400024000000 its reverse (420004053), we get a palindrome (350400444004053).

The spelling of 350400024000000 in words is "three hundred fifty trillion, four hundred billion, twenty-four million", and thus it is an aban number.