30401200442340 has 1152 divisors, whose sum is σ = 121188603174912. Its totient is φ = 5994253393920.

The previous prime is 30401200442321. The next prime is 30401200442351. The reversal of 30401200442340 is 4324400210403.

It is a happy number.

30401200442340 is a `hidden beast` number, since 3 + 0 + 401 + 20 + 0 + 4 + 4 + 234 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2942710975 + ... + 2942721305.

It is an arithmetic number, because the mean of its divisors is an integer number (105198440256).

Almost surely, 2^{30401200442340} is an apocalyptic number.

30401200442340 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 30401200442340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60594301587456).

30401200442340 is an abundant number, since it is smaller than the sum of its proper divisors (90787402732572).

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

30401200442340 is a wasteful number, since it uses less digits than its factorization.

30401200442340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10569 (or 10564 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 30401200442340 its reverse (4324400210403), we get a palindrome (34725600652743).

The spelling of 30401200442340 in words is "thirty trillion, four hundred one billion, two hundred million, four hundred forty-two thousand, three hundred forty".