1014241400 has 48 divisors (see below), whose sum is σ = 2366634240. Its totient is φ = 404230400.

The previous prime is 1014241399. The next prime is 1014241411. The reversal of 1014241400 is 41424101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47177 + ... + 65223.

It is an arithmetic number, because the mean of its divisors is an integer number (49304880).

Almost surely, 2^1014241400 is an apocalyptic number.

1014241400 is a gapful number since it is divisible by the number (10) 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 1014241400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183317120).

1014241400 is an abundant number, since it is smaller than the sum of its proper divisors (1352392840).

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

1014241400 is a wasteful number, since it uses less digits than its factorization.

1014241400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18344 (or 18335 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 1014241400 is about 31847.1568589725. The cubic root of 1014241400 is about 1004.7247746797.

Adding to 1014241400 its reverse (41424101), we get a palindrome (1055665501).

The spelling of 1014241400 in words is "one billion, fourteen million, two hundred forty-one thousand, four hundred".