40401465210216 has 288 divisors, whose sum is σ = 123591079521000. Its totient is φ = 11905402291200.

The previous prime is 40401465210191. The next prime is 40401465210251. The reversal of 40401465210216 is 61201256410404.

40401465210216 is a `hidden beast` number, since 40 + 40 + 1 + 46 + 521 + 0 + 2 + 16 = 666.

40401465210216 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 14595532568100 + 25805932642116 = 3820410^2 + 5079954^2 .

It is a super-2 number, since 2×40401465210216² (a number of 28 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 599848510 + ... + 599915858.

Almost surely, 2^{40401465210216} 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 40401465210216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61795539760500).

40401465210216 is an abundant number, since it is smaller than the sum of its proper divisors (83189614310784).

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

40401465210216 is a wasteful number, since it uses less digits than its factorization.

40401465210216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69281 (or 69263 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 40401465210216 in words is "forty trillion, four hundred one billion, four hundred sixty-five million, two hundred ten thousand, two hundred sixteen".