1616018040 has 768 divisors, whose sum is σ = 7067088000. Its totient is φ = 329204736.

The previous prime is 1616017999. The next prime is 1616018057. The reversal of 1616018040 is 408106161.

1616018040 is a `hidden beast` number, since 1 + 616 + 0 + 1 + 8 + 0 + 40 = 666.

It is a super-2 number, since 2×1616018040² = 5223028611210883200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1616017995 and 1616018013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 55724746 + ... + 55724774.

Almost surely, 2^1616018040 is an apocalyptic number.

1616018040 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 1616018040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3533544000).

1616018040 is an abundant number, since it is smaller than the sum of its proper divisors (5451069960).

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

1616018040 is a wasteful number, since it uses less digits than its factorization.

1616018040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1616018040 is about 40199.7268647437. The cubic root of 1616018040 is about 1173.4972283825.

The spelling of 1616018040 in words is "one billion, six hundred sixteen million, eighteen thousand, forty".