40145413683312 has 1600 divisors, whose sum is σ = 145298486333440. Its totient is φ = 10448555212800.

The previous prime is 40145413683253. The next prime is 40145413683337. The reversal of 40145413683312 is 21338631454104.

40145413683312 is a `hidden beast` number, since 4 + 0 + 1 + 4 + 541 + 3 + 68 + 33 + 12 = 666.

It is a super-2 number, since 2×40145413683312² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 148138057737 + ... + 148138058007.

Almost surely, 2^{40145413683312} is an apocalyptic number.

40145413683312 is a gapful number since it is divisible by the number (42) 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 40145413683312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72649243166720).

40145413683312 is an abundant number, since it is smaller than the sum of its proper divisors (105153072650128).

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

40145413683312 is a wasteful number, since it uses less digits than its factorization.

40145413683312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 40145413683312 in words is "forty trillion, one hundred forty-five billion, four hundred thirteen million, six hundred eighty-three thousand, three hundred twelve".