40721349240 has 1024 divisors, whose sum is σ = 167650560000. Its totient is φ = 8659353600.

The previous prime is 40721349239. The next prime is 40721349257. The reversal of 40721349240 is 4294312704.

40721349240 is a `hidden beast` number, since 4 + 0 + 72 + 1 + 349 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40721349195 and 40721349204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 373590306 + ... + 373590414.

It is an arithmetic number, because the mean of its divisors is an integer number (163721250).

Almost surely, 2^40721349240 is an apocalyptic number.

40721349240 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 40721349240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83825280000).

40721349240 is an abundant number, since it is smaller than the sum of its proper divisors (126929210760).

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

40721349240 is a wasteful number, since it uses less digits than its factorization.

40721349240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 40721349240 in words is "forty billion, seven hundred twenty-one million, three hundred forty-nine thousand, two hundred forty".