4100401200 has 120 divisors (see below), whose sum is σ = 15011404288. Its totient is φ = 937232640.

The previous prime is 4100401183. The next prime is 4100401211. The reversal of 4100401200 is 21040014.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×4100401200² = 33626580001922880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235672 + ... + 252471.

Almost surely, 2^4100401200 is an apocalyptic number.

4100401200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4100401200 is an abundant number, since it is smaller than the sum of its proper divisors (10911003088).

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

4100401200 is a wasteful number, since it uses less digits than its factorization.

4100401200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488171 (or 488160 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 4100401200 is about 64034.3751433556. The cubic root of 4100401200 is about 1600.5728677813.

Adding to 4100401200 its reverse (21040014), we get a palindrome (4121441214).

The spelling of 4100401200 in words is "four billion, one hundred million, four hundred one thousand, two hundred".