1410420400 has 60 divisors (see below), whose sum is σ = 3406460544. Its totient is φ = 561184000.

The previous prime is 1410420397. The next prime is 1410420443. The reversal of 1410420400 is 40240141.

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

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, 67170 + ... + 85630.

Almost surely, 2^1410420400 is an apocalyptic number.

1410420400 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 1410420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703230272).

1410420400 is an abundant number, since it is smaller than the sum of its proper divisors (1996040144).

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

1410420400 is a wasteful number, since it uses less digits than its factorization.

1410420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18670 (or 18659 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1410420400 is about 37555.5641683093. The cubic root of 1410420400 is about 1121.4576047534.

Adding to 1410420400 its reverse (40240141), we get a palindrome (1450660541).

The spelling of 1410420400 in words is "one billion, four hundred ten million, four hundred twenty thousand, four hundred".