1002140400 has 60 divisors (see below), whose sum is σ = 3210193592. Its totient is φ = 267237120.

The previous prime is 1002140339. The next prime is 1002140417. The reversal of 1002140400 is 40412001.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 416359 + ... + 418758.

Almost surely, 2^1002140400 is an apocalyptic number.

1002140400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002140400 is an abundant number, since it is smaller than the sum of its proper divisors (2208053192).

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

1002140400 is a wasteful number, since it uses less digits than its factorization.

1002140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835138 (or 835127 counting only the distinct ones).

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

The square root of 1002140400 is about 31656.6012073311. The cubic root of 1002140400 is about 1000.7129582364.

Adding to 1002140400 its reverse (40412001), we get a palindrome (1042552401).

The spelling of 1002140400 in words is "one billion, two million, one hundred forty thousand, four hundred".