1409640000 has 280 divisors, whose sum is σ = 4941893088. Its totient is φ = 353280000.

The previous prime is 1409639989. The next prime is 1409640019. The reversal of 1409640000 is 469041.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2039655 + ... + 2040345.

Almost surely, 2^1409640000 is an apocalyptic number.

1409640000 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 1409640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2470946544).

1409640000 is an abundant number, since it is smaller than the sum of its proper divisors (3532253088).

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

1409640000 is an equidigital number, since it uses as much as digits as its factorization.

1409640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1409640000 is about 37545.1727922512. The cubic root of 1409640000 is about 1121.2507286143.

The spelling of 1409640000 in words is "one billion, four hundred nine million, six hundred forty thousand".