40500034400 has 144 divisors (see below), whose sum is σ = 113285936736. Its totient is φ = 13849989120.

The previous prime is 40500034381. The next prime is 40500034417. The reversal of 40500034400 is 443000504.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2214092 + ... + 2232308.

It is an arithmetic number, because the mean of its divisors is an integer number (786707894).

Almost surely, 2^40500034400 is an apocalyptic number.

40500034400 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 40500034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56642968368).

40500034400 is an abundant number, since it is smaller than the sum of its proper divisors (72785902336).

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

40500034400 is a wasteful number, since it uses less digits than its factorization.

40500034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18641 (or 18628 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

Adding to 40500034400 its reverse (443000504), we get a palindrome (40943034904).

The spelling of 40500034400 in words is "forty billion, five hundred million, thirty-four thousand, four hundred".