40306438430720 has 448 divisors, whose sum is σ = 120701765606400. Its totient is φ = 12552225423360.

The previous prime is 40306438430597. The next prime is 40306438430723. The reversal of 40306438430720 is 2703483460304.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40306438430723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4160015636 + ... + 4160025324.

Almost surely, 2^{40306438430720} is an apocalyptic number.

40306438430720 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 40306438430720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60350882803200).

40306438430720 is an abundant number, since it is smaller than the sum of its proper divisors (80395327175680).

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

40306438430720 is a wasteful number, since it uses less digits than its factorization.

40306438430720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11057 (or 11033 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 44.

The spelling of 40306438430720 in words is "forty trillion, three hundred six billion, four hundred thirty-eight million, four hundred thirty thousand, seven hundred twenty".