40632230880 has 240 divisors, whose sum is σ = 145013243760. Its totient is φ = 10713212928.

The previous prime is 40632230879. The next prime is 40632230887. The reversal of 40632230880 is 8803223604.

It is a tau number, because it is divible by the number of its divisors (240).

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 (40632230887) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1135827 + ... + 1171053.

It is an arithmetic number, because the mean of its divisors is an integer number (604221849).

Almost surely, 2^40632230880 is an apocalyptic number.

40632230880 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 40632230880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72506621880).

40632230880 is an abundant number, since it is smaller than the sum of its proper divisors (104381012880).

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

40632230880 is a wasteful number, since it uses less digits than its factorization.

40632230880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35343 (or 35326 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 40632230880 in words is "forty billion, six hundred thirty-two million, two hundred thirty thousand, eight hundred eighty".