16431331440 has 160 divisors (see below), whose sum is σ = 51649551360. Its totient is φ = 4320801792.

The previous prime is 16431331417. The next prime is 16431331463. The reversal of 16431331440 is 4413313461.

It is an interprime number because it is at equal distance from previous prime (16431331417) and next prime (16431331463).

It is a super-2 number, since 2×16431331440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 16431331398 and 16431331407.

It is a congruent number.

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, 5936937 + ... + 5939703.

It is an arithmetic number, because the mean of its divisors is an integer number (322809696).

Almost surely, 2^16431331440 is an apocalyptic number.

16431331440 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 16431331440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25824775680).

16431331440 is an abundant number, since it is smaller than the sum of its proper divisors (35218219920).

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

16431331440 is a wasteful number, since it uses less digits than its factorization.

16431331440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3119 (or 3113 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 16431331440 in words is "sixteen billion, four hundred thirty-one million, three hundred thirty-one thousand, four hundred forty".