1413004021440 has 224 divisors, whose sum is σ = 4931496725760. Its totient is φ = 339931238400.

The previous prime is 1413004021393. The next prime is 1413004021483. The reversal of 1413004021440 is 441204003141.

It is a super-2 number, since 2×1413004021440² (a number of 25 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1413004021440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 872646 + ... + 1894074.

Almost surely, 2^{1413004021440} is an apocalyptic number.

1413004021440 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 1413004021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2465748362880).

1413004021440 is an abundant number, since it is smaller than the sum of its proper divisors (3518492704320).

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

1413004021440 is a wasteful number, since it uses less digits than its factorization.

1413004021440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021591 (or 1021581 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1413004021440 its reverse (441204003141), we get a palindrome (1854208024581).

The spelling of 1413004021440 in words is "one trillion, four hundred thirteen billion, four million, twenty-one thousand, four hundred forty".