40348588800 has 864 divisors, whose sum is σ = 156547605312. Its totient is φ = 9059696640.

The previous prime is 40348588799. The next prime is 40348588807. The reversal of 40348588800 is 888584304.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 40348588800.

It is not an unprimeable number, because it can be changed into a prime (40348588807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 156998272 + ... + 156998528.

It is an arithmetic number, because the mean of its divisors is an integer number (181189358).

Almost surely, 2^40348588800 is an apocalyptic number.

40348588800 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 40348588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78273802656).

40348588800 is an abundant number, since it is smaller than the sum of its proper divisors (116199016512).

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

40348588800 is a wasteful number, since it uses less digits than its factorization.

40348588800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 48.

The spelling of 40348588800 in words is "forty billion, three hundred forty-eight million, five hundred eighty-eight thousand, eight hundred".