40301434032400 has 120 divisors (see below), whose sum is σ = 98158127671944. Its totient is φ = 15898516992000.

The previous prime is 40301434032367. The next prime is 40301434032407. The reversal of 40301434032400 is 423043410304.

It can be written as a sum of positive squares in 12 ways, for example, as 19954875199744 + 20346558832656 = 4467088^2 + 4510716^2 .

It is not an unprimeable number, because it can be changed into a prime (40301434032407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 440903502 + ... + 440994898.

Almost surely, 2^{40301434032400} is an apocalyptic number.

40301434032400 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 40301434032400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49079063835972).

40301434032400 is an abundant number, since it is smaller than the sum of its proper divisors (57856693639544).

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

40301434032400 is a wasteful number, since it uses less digits than its factorization.

40301434032400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106589 (or 106578 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 40301434032400 its reverse (423043410304), we get a palindrome (40724477442704).

The spelling of 40301434032400 in words is "forty trillion, three hundred one billion, four hundred thirty-four million, thirty-two thousand, four hundred".