40341254400 has 324 divisors, whose sum is σ = 144831855168. Its totient is φ = 10712739840.

The previous prime is 40341254341. The next prime is 40341254413. The reversal of 40341254400 is 445214304.

It is a happy number.

40341254400 is a `hidden beast` number, since 4 + 0 + 3 + 4 + 1 + 254 + 400 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15147469 + ... + 15150131.

Almost surely, 2^40341254400 is an apocalyptic number.

40341254400 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 40341254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72415927584).

40341254400 is an abundant number, since it is smaller than the sum of its proper divisors (104490600768).

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

40341254400 is a wasteful number, since it uses less digits than its factorization.

40341254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2958 (or 2936 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 40341254400 its reverse (445214304), we get a palindrome (40786468704).

The spelling of 40341254400 in words is "forty billion, three hundred forty-one million, two hundred fifty-four thousand, four hundred".