1016407355152 has 240 divisors, whose sum is σ = 2414406182400. Its totient is φ = 412731970560.

The previous prime is 1016407355141. The next prime is 1016407355153. The reversal of 1016407355152 is 2515537046101.

It is a happy number.

1016407355152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1016407355153) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 310731277 + ... + 310734547.

It is an arithmetic number, because the mean of its divisors is an integer number (10060025760).

Almost surely, 2^{1016407355152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1016407355152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207203091200).

1016407355152 is an abundant number, since it is smaller than the sum of its proper divisors (1397998827248).

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

1016407355152 is a wasteful number, since it uses less digits than its factorization.

1016407355152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3574 (or 3561 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 40.

The spelling of 1016407355152 in words is "one trillion, sixteen billion, four hundred seven million, three hundred fifty-five thousand, one hundred fifty-two".