1616040000 has 315 divisors, whose sum is σ = 5875937067. Its totient is φ = 424512000.

The previous prime is 1616039989. The next prime is 1616040047. The reversal of 1616040000 is 406161.

The square root of 1616040000 is 40200.

It is a perfect power (a square), and thus also a powerful number.

1616040000 is a `hidden beast` number, since 1 + 61 + 604 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 126697536 + 1489342464 = 11256^2 + 38592^2 .

It is a super-2 number, since 2×1616040000² = 5223170563200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 24119967 + ... + 24120033.

Almost surely, 2^1616040000 is an apocalyptic number.

1616040000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1616040000 is the 40200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1616040000

1616040000 is an abundant number, since it is smaller than the sum of its proper divisors (4259897067).

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

1616040000 is an frugal number, since it uses more digits than its factorization.

1616040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The cubic root of 1616040000 is about 1173.5025438930.

Multiplying 1616040000 by its product of nonzero digits (144), we get a square (232709760000 = 482400²).

1616040000 divided by its product of nonzero digits (144) gives a square (11222500 = 3350²).

Adding to 1616040000 its reverse (406161), we get a palindrome (1616446161).

The spelling of 1616040000 in words is "one billion, six hundred sixteen million, forty thousand".