1616011911400 has 96 divisors (see below), whose sum is σ = 3979144972440. Its totient is φ = 608242728960.

The previous prime is 1616011911337. The next prime is 1616011911413. The reversal of 1616011911400 is 41191106161.

It can be written as a sum of positive squares in 12 ways, for example, as 8750854116 + 1607261057284 = 93546^2 + 1267778^2 .

It is a super-2 number, since 2×1616011911400² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15578104 + ... + 15681496.

Almost surely, 2^{1616011911400} is an apocalyptic number.

1616011911400 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 1616011911400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989572486220).

1616011911400 is an abundant number, since it is smaller than the sum of its proper divisors (2363133061040).

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

1616011911400 is a wasteful number, since it uses less digits than its factorization.

1616011911400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108023 (or 108014 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 31.

The spelling of 1616011911400 in words is "one trillion, six hundred sixteen billion, eleven million, nine hundred eleven thousand, four hundred".