1408742303440 has 160 divisors (see below), whose sum is σ = 3684642203520. Its totient is φ = 497740234752.

The previous prime is 1408742303411. The next prime is 1408742303447. The reversal of 1408742303440 is 443032478041.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1408742303393 and 1408742303402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1408742303447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2510124 + ... + 3019636.

It is an arithmetic number, because the mean of its divisors is an integer number (23029013772).

Almost surely, 2^{1408742303440} is an apocalyptic number.

1408742303440 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 1408742303440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842321101760).

1408742303440 is an abundant number, since it is smaller than the sum of its proper divisors (2275899900080).

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

1408742303440 is a wasteful number, since it uses less digits than its factorization.

1408742303440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509669 (or 509663 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 40.

The spelling of 1408742303440 in words is "one trillion, four hundred eight billion, seven hundred forty-two million, three hundred three thousand, four hundred forty".