40023009648 has 120 divisors (see below), whose sum is σ = 117968320080. Its totient is φ = 12631956480.

The previous prime is 40023009643. The next prime is 40023009673. The reversal of 40023009648 is 84690032004.

It is a happy number.

40023009648 is a `hidden beast` number, since 4 + 0 + 0 + 2 + 3 + 0 + 0 + 9 + 648 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40023009641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7825140 + ... + 7830252.

It is an arithmetic number, because the mean of its divisors is an integer number (983069334).

Almost surely, 2^40023009648 is an apocalyptic number.

40023009648 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 40023009648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58984160040).

40023009648 is an abundant number, since it is smaller than the sum of its proper divisors (77945310432).

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

40023009648 is a wasteful number, since it uses less digits than its factorization.

40023009648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8007 (or 7998 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 40023009648 in words is "forty billion, twenty-three million, nine thousand, six hundred forty-eight".