1408777440 has 288 divisors, whose sum is σ = 5227921440. Its totient is φ = 317915136.

The previous prime is 1408777429. The next prime is 1408777459. The reversal of 1408777440 is 447778041.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1408777392 and 1408777401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2092944 + ... + 2093616.

It is an arithmetic number, because the mean of its divisors is an integer number (18152505).

Almost surely, 2^1408777440 is an apocalyptic number.

1408777440 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 1408777440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2613960720).

1408777440 is an abundant number, since it is smaller than the sum of its proper divisors (3819144000).

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

1408777440 is a wasteful number, since it uses less digits than its factorization.

1408777440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 175616, while the sum is 42.

The square root of 1408777440 is about 37533.6840717774. The cubic root of 1408777440 is about 1121.0219838375.

The spelling of 1408777440 in words is "one billion, four hundred eight million, seven hundred seventy-seven thousand, four hundred forty".