1400400160 has 48 divisors (see below), whose sum is σ = 3503066616. Its totient is φ = 527208448.

The previous prime is 1400400139. The next prime is 1400400167. The reversal of 1400400160 is 610040041.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1321758736 + 78641424 = 36356^2 + 8868^2 .

It is a super-2 number, since 2×1400400160² = 3922241216256051200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1400400167) 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 7 ways as a sum of consecutive naturals, for example, 254707 + ... + 260146.

Almost surely, 2^1400400160 is an apocalyptic number.

1400400160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1400400160 is an abundant number, since it is smaller than the sum of its proper divisors (2102666456).

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

1400400160 is a wasteful number, since it uses less digits than its factorization.

1400400160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514885 (or 514877 counting only the distinct ones).

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

The square root of 1400400160 is about 37421.9208486149. The cubic root of 1400400160 is about 1118.7955163488.

The spelling of 1400400160 in words is "one billion, four hundred million, four hundred thousand, one hundred sixty".