1016306436420 has 288 divisors, whose sum is σ = 3431982887424. Its totient is φ = 241342233600.

The previous prime is 1016306436413. The next prime is 1016306436479. The reversal of 1016306436420 is 246346036101.

1016306436420 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 3 + 0 + 6 + 4 + 3 + 642 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68518405 + ... + 68533235.

It is an arithmetic number, because the mean of its divisors is an integer number (11916607248).

Almost surely, 2^{1016306436420} is an apocalyptic number.

1016306436420 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 1016306436420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715991443712).

1016306436420 is an abundant number, since it is smaller than the sum of its proper divisors (2415676451004).

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

1016306436420 is a wasteful number, since it uses less digits than its factorization.

1016306436420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15563 (or 15558 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 1016306436420 in words is "one trillion, sixteen billion, three hundred six million, four hundred thirty-six thousand, four hundred twenty".