40293223152 has 480 divisors, whose sum is σ = 137356208640. Its totient is φ = 9899366400.

The previous prime is 40293223111. The next prime is 40293223189. The reversal of 40293223152 is 25132239204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 121731627 + ... + 121731957.

It is an arithmetic number, because the mean of its divisors is an integer number (286158768).

Almost surely, 2^40293223152 is an apocalyptic number.

40293223152 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 40293223152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68678104320).

40293223152 is an abundant number, since it is smaller than the sum of its proper divisors (97062985488).

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

40293223152 is a wasteful number, since it uses less digits than its factorization.

40293223152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 40293223152 in words is "forty billion, two hundred ninety-three million, two hundred twenty-three thousand, one hundred fifty-two".