1409855040 has 336 divisors, whose sum is σ = 5340681216. Its totient is φ = 338534400.

The previous prime is 1409855021. The next prime is 1409855047. The reversal of 1409855040 is 405589041.

1409855040 is a `hidden beast` number, since 14 + 0 + 98 + 550 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1409854986 and 1409855004.

It is not an unprimeable number, because it can be changed into a prime (1409855047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6050764 + ... + 6050996.

Almost surely, 2^1409855040 is an apocalyptic number.

1409855040 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 1409855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2670340608).

1409855040 is an abundant number, since it is smaller than the sum of its proper divisors (3930826176).

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

1409855040 is a wasteful number, since it uses less digits than its factorization.

1409855040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 1409855040 is about 37548.0364333476. The cubic root of 1409855040 is about 1121.3077411606.

The spelling of 1409855040 in words is "one billion, four hundred nine million, eight hundred fifty-five thousand, forty".