40721311488 has 432 divisors, whose sum is σ = 135361005696. Its totient is φ = 10712186880.

The previous prime is 40721311459. The next prime is 40721311489. The reversal of 40721311488 is 88411312704.

40721311488 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 (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40721311489) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31738495 + ... + 31739777.

Almost surely, 2^40721311488 is an apocalyptic number.

40721311488 is a gapful number since it is divisible by the number (48) 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 40721311488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67680502848).

40721311488 is an abundant number, since it is smaller than the sum of its proper divisors (94639694208).

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

40721311488 is a wasteful number, since it uses less digits than its factorization.

40721311488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The spelling of 40721311488 in words is "forty billion, seven hundred twenty-one million, three hundred eleven thousand, four hundred eighty-eight".