40235126400 has 576 divisors, whose sum is σ = 165673622400. Its totient is φ = 9107251200.

The previous prime is 40235126387. The next prime is 40235126401. The reversal of 40235126400 is 462153204.

40235126400 is a `hidden beast` number, since 4 + 0 + 2 + 3 + 5 + 12 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40235126401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21973485 + ... + 21975315.

Almost surely, 2^40235126400 is an apocalyptic number.

40235126400 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 40235126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82836811200).

40235126400 is an abundant number, since it is smaller than the sum of its proper divisors (125438496000).

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

40235126400 is a wasteful number, since it uses less digits than its factorization.

40235126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1977 (or 1957 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 40235126400 its reverse (462153204), we get a palindrome (40697279604).

The spelling of 40235126400 in words is "forty billion, two hundred thirty-five million, one hundred twenty-six thousand, four hundred".