40260760320 has 576 divisors, whose sum is σ = 151524172800. Its totient is φ = 9007595520.

The previous prime is 40260760303. The next prime is 40260760333. The reversal of 40260760320 is 2306706204.

40260760320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28173366 + ... + 28174794.

It is an arithmetic number, because the mean of its divisors is an integer number (263062800).

Almost surely, 2^40260760320 is an apocalyptic number.

40260760320 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 40260760320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75762086400).

40260760320 is an abundant number, since it is smaller than the sum of its proper divisors (111263412480).

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

40260760320 is a wasteful number, since it uses less digits than its factorization.

40260760320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The spelling of 40260760320 in words is "forty billion, two hundred sixty million, seven hundred sixty thousand, three hundred twenty".