1616131440 has 800 divisors, whose sum is σ = 7259535360. Its totient is φ = 323481600.

The previous prime is 1616131397. The next prime is 1616131441. The reversal of 1616131440 is 441316161.

1616131440 is a `hidden beast` number, since 1 + 6 + 1 + 613 + 1 + 4 + 40 = 666.

It is a super-2 number, since 2×1616131440² = 5223761662712947200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1616131441) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20457321 + ... + 20457399.

Almost surely, 2^1616131440 is an apocalyptic number.

1616131440 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 1616131440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3629767680).

1616131440 is an abundant number, since it is smaller than the sum of its proper divisors (5643403920).

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

1616131440 is a wasteful number, since it uses less digits than its factorization.

1616131440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1616131440 is about 40201.1372973452. The cubic root of 1616131440 is about 1173.5246768123.

The spelling of 1616131440 in words is "one billion, six hundred sixteen million, one hundred thirty-one thousand, four hundred forty".