4013121400 has 24 divisors (see below), whose sum is σ = 9330507720. Its totient is φ = 1605248480.

The previous prime is 4013121383. The next prime is 4013121407. The reversal of 4013121400 is 41213104.

It is a super-2 number, since 2×4013121400² = 32210286742275920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013121407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10032604 + ... + 10033003.

It is an arithmetic number, because the mean of its divisors is an integer number (388771155).

Almost surely, 2^4013121400 is an apocalyptic number.

4013121400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4013121400 is an abundant number, since it is smaller than the sum of its proper divisors (5317386320).

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

4013121400 is a wasteful number, since it uses less digits than its factorization.

4013121400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20065623 (or 20065614 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 4013121400 is about 63349.2020470661. The cubic root of 4013121400 is about 1589.1349011509.

Adding to 4013121400 its reverse (41213104), we get a palindrome (4054334504).

The spelling of 4013121400 in words is "four billion, thirteen million, one hundred twenty-one thousand, four hundred".