4016401200 has 360 divisors, whose sum is σ = 16521942528. Its totient is φ = 917879040.

The previous prime is 4016401141. The next prime is 4016401211. The reversal of 4016401200 is 21046104.

4016401200 is a `hidden beast` number, since 4 + 0 + 1 + 640 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×4016401200² = 32262957198722880000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 677449 + ... + 683351.

Almost surely, 2^4016401200 is an apocalyptic number.

4016401200 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 4016401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8260971264).

4016401200 is an abundant number, since it is smaller than the sum of its proper divisors (12505541328).

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

4016401200 is a wasteful number, since it uses less digits than its factorization.

4016401200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5943 (or 5920 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4016401200 is about 63375.0834318977. The cubic root of 4016401200 is about 1589.5677002028.

Adding to 4016401200 its reverse (21046104), we get a palindrome (4037447304).

The spelling of 4016401200 in words is "four billion, sixteen million, four hundred one thousand, two hundred".