10216016329440 has 96 divisors (see below), whose sum is σ = 32242218928416. Its totient is φ = 2719042027520.

The previous prime is 10216016329339. The next prime is 10216016329507. The reversal of 10216016329440 is 4492361061201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10216016329440² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20175417 + ... + 20675576.

It is an arithmetic number, because the mean of its divisors is an integer number (335856447171).

Almost surely, 2^{10216016329440} is an apocalyptic number.

10216016329440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10216016329440 is an abundant number, since it is smaller than the sum of its proper divisors (22026202598976).

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

10216016329440 is a wasteful number, since it uses less digits than its factorization.

10216016329440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40851532 (or 40851524 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 10216016329440 in words is "ten trillion, two hundred sixteen billion, sixteen million, three hundred twenty-nine thousand, four hundred forty".