40365140928 has 224 divisors, whose sum is σ = 124172691456. Its totient is φ = 11334131712.

The previous prime is 40365140927. The next prime is 40365140947. The reversal of 40365140928 is 82904156304.

40365140928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 40365140928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40365140927) 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, 36595225 + ... + 36596327.

Almost surely, 2^40365140928 is an apocalyptic number.

40365140928 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 40365140928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62086345728).

40365140928 is an abundant number, since it is smaller than the sum of its proper divisors (83807550528).

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

40365140928 is a wasteful number, since it uses less digits than its factorization.

40365140928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 40365140928 in words is "forty billion, three hundred sixty-five million, one hundred forty thousand, nine hundred twenty-eight".