1014000400 has 60 divisors (see below), whose sum is σ = 2784163072. Its totient is φ = 347656320.

The previous prime is 1014000371. The next prime is 1014000409. The reversal of 1014000400 is 40004101.

It is a super-2 number, since 2×1014000400² = 2056393622400320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1014000409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178272 + ... + 183871.

Almost surely, 2^1014000400 is an apocalyptic number.

1014000400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014000400 is an abundant number, since it is smaller than the sum of its proper divisors (1770162672).

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

1014000400 is a wasteful number, since it uses less digits than its factorization.

1014000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362168 (or 362157 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1014000400 is about 31843.3729369236. The cubic root of 1014000400 is about 1004.6451888100.

Adding to 1014000400 its reverse (40004101), we get a palindrome (1054004501).

The spelling of 1014000400 in words is "one billion, fourteen million, four hundred", and thus it is an aban number.