40407980760 has 320 divisors, whose sum is σ = 156678001920. Its totient is φ = 9149241600.

The previous prime is 40407980749. The next prime is 40407980761. The reversal of 40407980760 is 6708970404.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40407980761) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2418435 + ... + 2435085.

It is an arithmetic number, because the mean of its divisors is an integer number (489618756).

Almost surely, 2^40407980760 is an apocalyptic number.

40407980760 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 40407980760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78339000960).

40407980760 is an abundant number, since it is smaller than the sum of its proper divisors (116270021160).

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

40407980760 is a wasteful number, since it uses less digits than its factorization.

40407980760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16788 (or 16775 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 40407980760 in words is "forty billion, four hundred seven million, nine hundred eighty thousand, seven hundred sixty".