40601016450 has 192 divisors, whose sum is σ = 116047036800. Its totient is φ = 10425542400.

The previous prime is 40601016427. The next prime is 40601016481. The reversal of 40601016450 is 5461010604.

40601016450 is a `hidden beast` number, since 4 + 0 + 6 + 0 + 10 + 1 + 645 + 0 = 666.

It is a super-3 number, since 3×40601016450³ (a number of 33 digits) contains 333 as substring.

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 95 ways as a sum of consecutive naturals, for example, 17342280 + ... + 17344620.

It is an arithmetic number, because the mean of its divisors is an integer number (604411650).

Almost surely, 2^40601016450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40601016450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58023518400).

40601016450 is an abundant number, since it is smaller than the sum of its proper divisors (75446020350).

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

40601016450 is a wasteful number, since it uses less digits than its factorization.

40601016450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2834 (or 2823 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 40601016450 in words is "forty billion, six hundred one million, sixteen thousand, four hundred fifty".