40105301430400 has 96 divisors (see below), whose sum is σ = 99135383835600. Its totient is φ = 16031958881280.

The previous prime is 40105301430319. The next prime is 40105301430407. The reversal of 40105301430400 is 403410350104.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (40105301430407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1084179 + ... + 9021421.

Almost surely, 2^{40105301430400} is an apocalyptic number.

40105301430400 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 40105301430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49567691917800).

40105301430400 is an abundant number, since it is smaller than the sum of its proper divisors (59030082405200).

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

40105301430400 is a wasteful number, since it uses less digits than its factorization.

40105301430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7938846 (or 7938829 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 40105301430400 its reverse (403410350104), we get a palindrome (40508711780504).

The spelling of 40105301430400 in words is "forty trillion, one hundred five billion, three hundred one million, four hundred thirty thousand, four hundred".