40146434496 has 336 divisors, whose sum is σ = 138675124224. Its totient is φ = 10856153088.

The previous prime is 40146434491. The next prime is 40146434633. The reversal of 40146434496 is 69443464104.

40146434496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×40146434496² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40146434491) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8993161 + ... + 8997623.

It is an arithmetic number, because the mean of its divisors is an integer number (412723584).

Almost surely, 2^40146434496 is an apocalyptic number.

40146434496 is a gapful number since it is divisible by the number (46) 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 40146434496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69337562112).

40146434496 is an abundant number, since it is smaller than the sum of its proper divisors (98528689728).

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

40146434496 is a wasteful number, since it uses less digits than its factorization.

40146434496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4608 (or 4595 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 40146434496 in words is "forty billion, one hundred forty-six million, four hundred thirty-four thousand, four hundred ninety-six".