40343387131152 has 720 divisors, whose sum is σ = 137150159328000. Its totient is φ = 11490891310080.

The previous prime is 40343387131141. The next prime is 40343387131189. The reversal of 40343387131152 is 25113178334304.

40343387131152 is a `hidden beast` number, since 4 + 0 + 3 + 433 + 87 + 131 + 1 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 40343387131098 and 40343387131107.

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 143 ways as a sum of consecutive naturals, for example, 12926428152 + ... + 12926431272.

It is an arithmetic number, because the mean of its divisors is an integer number (190486332400).

Almost surely, 2^{40343387131152} is an apocalyptic number.

40343387131152 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 40343387131152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68575079664000).

40343387131152 is an abundant number, since it is smaller than the sum of its proper divisors (96806772196848).

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

40343387131152 is an frugal number, since it uses more digits than its factorization.

40343387131152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3533 (or 3492 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 40343387131152 in words is "forty trillion, three hundred forty-three billion, three hundred eighty-seven million, one hundred thirty-one thousand, one hundred fifty-two".