4120114001400 has 432 divisors, whose sum is σ = 14680037604960. Its totient is φ = 1034921932800.

The previous prime is 4120114001351. The next prime is 4120114001453. The reversal of 4120114001400 is 41004110214.

4120114001400 is a `hidden beast` number, since 4 + 120 + 1 + 1 + 400 + 140 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 62032609 + ... + 62098991.

It is an arithmetic number, because the mean of its divisors is an integer number (33981568530).

Almost surely, 2^{4120114001400} is an apocalyptic number.

4120114001400 is a gapful number since it is divisible by the number (40) 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 4120114001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7340018802480).

4120114001400 is an abundant number, since it is smaller than the sum of its proper divisors (10559923603560).

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

4120114001400 is a wasteful number, since it uses less digits than its factorization.

4120114001400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66504 (or 66463 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 4120114001400 its reverse (41004110214), we get a palindrome (4161118111614).

The spelling of 4120114001400 in words is "four trillion, one hundred twenty billion, one hundred fourteen million, one thousand, four hundred".