40340462400 has 840 divisors, whose sum is σ = 172867685760. Its totient is φ = 9035919360.

The previous prime is 40340462399. The next prime is 40340462413. The reversal of 40340462400 is 426404304.

40340462400 is a `hidden beast` number, since 4 + 0 + 34 + 0 + 4 + 624 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 48081181 + ... + 48082019.

It is an arithmetic number, because the mean of its divisors is an integer number (205794864).

Almost surely, 2^40340462400 is an apocalyptic number.

40340462400 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 40340462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86433842880).

40340462400 is an abundant number, since it is smaller than the sum of its proper divisors (132527223360).

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

40340462400 is a wasteful number, since it uses less digits than its factorization.

40340462400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 40340462400 its reverse (426404304), we get a palindrome (40766866704).

The spelling of 40340462400 in words is "forty billion, three hundred forty million, four hundred sixty-two thousand, four hundred".