40343315311200 has 576 divisors, whose sum is σ = 151667180179200. Its totient is φ = 9211873075200.

The previous prime is 40343315311183. The next prime is 40343315311213. The reversal of 40343315311200 is 211351334304.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 86544346 + ... + 87009254.

It is an arithmetic number, because the mean of its divisors is an integer number (263311076700).

Almost surely, 2^{40343315311200} is an apocalyptic number.

40343315311200 is a gapful number since it is divisible by the number (40) 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 40343315311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75833590089600).

40343315311200 is an abundant number, since it is smaller than the sum of its proper divisors (111323864868000).

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

40343315311200 is a wasteful number, since it uses less digits than its factorization.

40343315311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465135 (or 465122 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 40343315311200 its reverse (211351334304), we get a palindrome (40554666645504).

The spelling of 40343315311200 in words is "forty trillion, three hundred forty-three billion, three hundred fifteen million, three hundred eleven thousand, two hundred".