1684144031440 has 160 divisors (see below), whose sum is σ = 4298070905856. Its totient is φ = 609867847680.

The previous prime is 1684144031411. The next prime is 1684144031447. The reversal of 1684144031440 is 441304414861.

It is a happy number.

It is a super-2 number, since 2×1684144031440² (a number of 25 digits) contains 22 as substring.

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 = 1684144031393 and 1684144031402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1684144031447) 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, 207632985 + ... + 207641095.

Almost surely, 2^{1684144031440} is an apocalyptic number.

1684144031440 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 1684144031440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2149035452928).

1684144031440 is an abundant number, since it is smaller than the sum of its proper divisors (2613926874416).

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

1684144031440 is a wasteful number, since it uses less digits than its factorization.

1684144031440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11957 (or 11951 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The spelling of 1684144031440 in words is "one trillion, six hundred eighty-four billion, one hundred forty-four million, thirty-one thousand, four hundred forty".