1414020400 has 60 divisors (see below), whose sum is σ = 3658519312. Its totient is φ = 522097920.

The previous prime is 1414020397. The next prime is 1414020409. The reversal of 1414020400 is 40204141.

1414020400 = T₈₄₉₆ + T₈₄₉₇ + ... + T₈₅₃₄.

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 (1414020409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130764 + ... + 141163.

Almost surely, 2^1414020400 is an apocalyptic number.

1414020400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1414020400 is an abundant number, since it is smaller than the sum of its proper divisors (2244498912).

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

1414020400 is a wasteful number, since it uses less digits than its factorization.

1414020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271958 (or 271947 counting only the distinct ones).

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

The square root of 1414020400 is about 37603.4626065207. The cubic root of 1414020400 is about 1122.4109416234.

Adding to 1414020400 its reverse (40204141), we get a palindrome (1454224541).

The spelling of 1414020400 in words is "one billion, four hundred fourteen million, twenty thousand, four hundred".