8141402016 has 168 divisors, whose sum is σ = 26217100224. Its totient is φ = 2467013760.

The previous prime is 8141401981. The next prime is 8141402057. The reversal of 8141402016 is 6102041418.

It is a happy number.

It is a super-2 number, since 2×8141402016² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 240745 + ... + 272471.

It is an arithmetic number, because the mean of its divisors is an integer number (156054168).

Almost surely, 2^8141402016 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 8141402016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13108550112).

8141402016 is an abundant number, since it is smaller than the sum of its proper divisors (18075698208).

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

8141402016 is a wasteful number, since it uses less digits than its factorization.

8141402016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31766 (or 31743 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 8141402016 is about 90229.7180312562. The cubic root of 8141402016 is about 2011.7147496801.

The spelling of 8141402016 in words is "eight billion, one hundred forty-one million, four hundred two thousand, sixteen".