1419980400 has 180 divisors, whose sum is σ = 5042874408. Its totient is φ = 369815040.

The previous prime is 1419980321. The next prime is 1419980407. The reversal of 1419980400 is 40899141.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1419980407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 150214 + ... + 159386.

Almost surely, 2^1419980400 is an apocalyptic number.

1419980400 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 1419980400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2521437204).

1419980400 is an abundant number, since it is smaller than the sum of its proper divisors (3622894008).

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

1419980400 is a wasteful number, since it uses less digits than its factorization.

1419980400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9240 (or 9226 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1419980400 is about 37682.6272969388. The cubic root of 1419980400 is about 1123.9856931771.

The spelling of 1419980400 in words is "one billion, four hundred nineteen million, nine hundred eighty thousand, four hundred".