1016141952000 has 1408 divisors, whose sum is σ = 4207702367232. Its totient is φ = 212336640000.

The previous prime is 1016141951959. The next prime is 1016141952013. The reversal of 1016141952000 is 2591416101.

It is a super-2 number, since 2×1016141952000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1690751700 + ... + 1690752300.

Almost surely, 2^{1016141952000} is an apocalyptic number.

1016141952000 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 1016141952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103851183616).

1016141952000 is an abundant number, since it is smaller than the sum of its proper divisors (3191560415232).

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

1016141952000 is a wasteful number, since it uses less digits than its factorization.

1016141952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The spelling of 1016141952000 in words is "one trillion, sixteen billion, one hundred forty-one million, nine hundred fifty-two thousand".