1411880400 has 360 divisors, whose sum is σ = 5648834880. Its totient is φ = 319887360.

The previous prime is 1411880389. The next prime is 1411880401. The reversal of 1411880400 is 40881141.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1411880401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4510644 + ... + 4510956.

It is an arithmetic number, because the mean of its divisors is an integer number (15691208).

Almost surely, 2^1411880400 is an apocalyptic number.

1411880400 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 1411880400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2824417440).

1411880400 is an abundant number, since it is smaller than the sum of its proper divisors (4236954480).

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

1411880400 is a wasteful number, since it uses less digits than its factorization.

1411880400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 1411880400 is about 37574.9970059879. The cubic root of 1411880400 is about 1121.8444311366.

The spelling of 1411880400 in words is "one billion, four hundred eleven million, eight hundred eighty thousand, four hundred".